Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 117885: Are the following lines parallel, perpendicular, or neither?
L1 with equation x-4y=12
L2with equation 4x+y=4
Check their slopes,m:
y=mx+b
If m1 and m2 are equal, then the lines are parallel.
If m1 and m2 are negative reciprocals, then the lines are perpendicular
L1 = -4y=-x+12-->y=1/4x-3--->m1=(1/4)
L2 = y = -4x +4--->m2=(-4)
Since m1 and m2 are negative, reciprocals the lines are perpendicular.
Hope that helps.
misscrt

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Question 117884: Write the line equation of the line which has y-intercept (0,5) and is perpendicular to the line with equation y=-3x+1(y = mx + b).
m1 is the negative reciprocal of m=-3, which is 1/3.
You were given (0,b)=(0,5)
Plug the values for m1 and b into the equation of a line: y = mx + b
y=1/3x+ 5
So, this is the line.

Click here to see answer by misscrt(37) About Me 

Question 117882: In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
Click here to see answer by josmiceli(19441) About Me 

Question 117883: Graph points (-4,3)
Click here to see answer by MathLover1(20849) About Me 

Question 117917: solve

8x - 11 = 2x + 1

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Question 117921: solve and check
3x-7=2x+8

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Question 117918: solve and check
22x -6(3x-0.325)=3x+0.535

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Question 117916: solve

4x/2 - 1 = 6x/2 - 4
First simplify the fractional terms by division:
4x/2 =2x
6x/2 =3x
Rewrite the equation:
2x - 1 = 3x - 4
Combine like terms:
First subtract 3x from both sides of the equation
2x-3x -1 = 3x-3x -4
-x-1= -4
Now add 1 to both sides
-x-1+1 = -4+1
-x=-3
Find x by dividing both sides by -1
-x/-1 = -3/-1
x = 3

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Question 117837: y=2x
Click here to see answer by checkley71(8403) About Me 

Question 117835: Write the equation of the L satisfying the given geometric condition.

L has y-intercept (0,2) and is perpendicular to the line with equation 2x-3y=6.

Click here to see answer by checkley71(8403) About Me 

Question 117349: these two points determine a line: (0,3) (2,5) give three points also on this line
Click here to see answer by BrittanyM(80) About Me 

Question 117794: Floor plans for a building have the four corners to a room located at points (2,3), (11,6), (-3,18) and (8,21). Determine whether the side through the
points (2,3) and (11,6) is perpendicular to the side through the points (2,3) and (-3,18).

Click here to see answer by checkley71(8403) About Me 

Question 117979: Find the equation, in slope-intercept form, of the line that passes through the
points (5,6) and (-7,3)

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Question 117980: Find the equation, in standard form, with all integer coefficients, of the line
perpendicular to 3x-6y+9 and passing through (-2,-1)

Click here to see answer by stanbon(75887) About Me 
Question 117980: Find the equation, in standard form, with all integer coefficients, of the line
perpendicular to 3x-6y+9 and passing through (-2,-1)

Click here to see answer by checkley71(8403) About Me 

Question 117989: 4x +2y = 4
3x + y = 4

Click here to see answer by whit838(1) About Me 

Question 117988: x = 4-4y
-x + 2y =2

Click here to see answer by jim_thompson5910(35256) About Me 

Question 117991: x = 4 - 4y
-x = 2y = 2

Click here to see answer by jim_thompson5910(35256) About Me 

Question 117992: -x + y =2
x + y =4

Click here to see answer by jim_thompson5910(35256) About Me 

Question 117993: 2x + y = 4
3x - 2y = -1

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Question 117997: Find the equation of each line. Write each answer in clope intercept form.
The line is parallel to -3x + 2y = 9 and contains the point (-2,-1).
I got 2y=-3x + 9 which is slope intercept form
answer I got was y= 3/2x + 4 which is incorrect

Click here to see answer by bucky(2189) About Me 

Question 117996: Find the equation of the line that goes through the given point and has the given slope. Write the answer in slope-intrecept form.
(-1,-5),-8
this is what I did
-5y=-8x + -1 I got b= -13 which is incorrect

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Question 118003: Write the equation of each line. Give the answer in slope-intercept form.
The line through (-1,-2)with slope of 3/7
The answer is y=3/7x-11/7
How do I work this problem to get that answer?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 118013: Write the equation of each line. Give the answer in standard form using only integers as the coefficients.
The line through (3,4) that is parallel to the line 5x+3y=9
The answer is 5x+3y=27
How do I work the problem to get the above answer?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 118019: Write the equation of the line which has y-intercept (0,5) and is perpendicular to the line with equation y=-3x+1
Click here to see answer by jim_thompson5910(35256) About Me 

Question 118020: Graph the following equation.
y=3x+1

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Question 118021: Graph the following equation.
y= -1/3x+1

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Question 118023: Graph the following equation.
y= -3x+1

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Question 118022: Graph the following equation.
y=1/3x+1

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Question 118036: Please help me solve this equation: find x-intercept of -2y=5x-12
Click here to see answer by ilana(307) About Me 

Question 117186: Graph y>2x+1 and 2x+y>2
Click here to see answer by Edwin McCravy(20055) About Me 

Question 118055: HI
please help me with this question
Find an equation of the line that is perpendicular to 2x-3y+6=0 and has the same x intercept as 3x+7y+9=0.
thanks for any help coming this way.

Click here to see answer by ilana(307) About Me 

Question 118097: find the slope and the y-intercept form
9x+3y=-3

Click here to see answer by solver91311(24713) About Me 

Question 118099: write an equation of the line that passes through (4,3) and (2,-2)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 118098: find the slope and the y-intercept form
9x+3y=-3

Click here to see answer by jim_thompson5910(35256) About Me 

Question 118250: A parachutist is 800 feet above the ground when she opens her parachute. She then falls at a constant rate of 5 feet per second. How do I write this out as an equation?
Click here to see answer by stanbon(75887) About Me 
Question 118250: A parachutist is 800 feet above the ground when she opens her parachute. She then falls at a constant rate of 5 feet per second. How do I write this out as an equation?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 118252: Maximum height:
If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t)=-16t2 + 32t where t is time in seconds. Graph this parabola for 0-

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Question 118253: Maximum height. If a soccer ball is kicked straight up from the ground with an initial velocityof 32 feet per second, then its height above the earth in feet is given by s(t)= -16t2 + 32t where t is time in seconds. Graph this parabola for 0 _< t _<2. What is the maximum height reached by the ball?
Click here to see answer by tutorcecilia(2152) About Me 

Question 118254: Minimizing cost.
A company uses the formula C(x)=0.02x2-3.4x+150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its minimum? What is the unit cost at that level of production.

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Question 118258: The stabilization ratio (births/deaths) for south and central america can be modeled by the formula: y= -0.0012x2 + 0.074x + 2.69 where y is the number of births divided by the number of deaths in the year 1950 + x.
a)Use the graph to estimate the year in which the stabilization ratio was at its maximum.
b)Use the formula to find the year in which the stabilization ratio was at its maximum.
c)what was the maximum stabilization ratio from bart (b)?
d)what is the significance of a stabilization ratio of 1?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 118273: Determine the equation of the line that is perpendicular to the y=-1/5 x and passes through the point (1,9)
Click here to see answer by stanbon(75887) About Me 

Question 118272: determine the equation of the line that is parallel to the line y=3x+5 and passes through point (2,-4)
Click here to see answer by stanbon(75887) About Me 

Question 118304: can you assist me with the follwing problem.
complete ech ordered pa8ir so that it satisfies the given equation
y = 3x + 9:(0, ),( ,24), (2 )




















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Question 118397: y=0.2x-5.6
Need to find the y intercept for the above equation in statistical analysis class.

Click here to see answer by ilana(307) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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