Questions on Algebra: Coordinate systems, graph plotting, etc answered by real tutors!

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Question 388708: The line y = ax + 7 is parallel to the line y = 2x - 3. The line y = bx + 7 is perpendicular to the line y = 2x- 3.
a) State the value of a and of b.
b) Calculate the perpendicular distance between the pair of parallel lines.
Click here to see answer by Alan3354(69443)

Question 389008: Three points have coordinates A(1,2) to B(9,0) and C(6,t). Calculate the value(s) of t if:
a) Angle ABC = 90 degrees,
b) AC is perpendicular to BC.
Click here to see answer by Jk22(389)

Question 389036: Find the coordinates of the points of intersection of the following pair of non-parallel lines:
2x + 4y = 10
6y - 3x + 9 = 0

Click here to see answer by Fombitz(32388)

Question 389036: Find the coordinates of the points of intersection of the following pair of non-parallel lines:
2x + 4y = 10
6y - 3x + 9 = 0

Click here to see answer by gwendolyn(128)

Question 389037: The line y = ax + 7 is parallel to the line y = 2x - 3. The line y = bx + 7 is perpendicular to the line y = 2x- 3.
a) State the value of a and of b.
b) Calculate the perpendicular distance between the pair of parallel lines.
*Please solve this question and explain it in detail. Also explain your answers in as much detail as possible, especially part (b). Thanks :)*
Click here to see answer by ewatrrr(24785)

Question 389043: The line through A(3,1) perpendicular to x - 4y = 8 meets the x-axis at P and the y-axis at Q. Calculate the ratio PA : AQ.
Click here to see answer by ewatrrr(24785)

Question 389064: What is the distance between points (5,-3) and (0,9) in a coordinate system?

Click here to see answer by CharlesG2(834)

Question 389461: I need to find the x intercept of this equation. I just dont get any of it.
4x+5y=8
Click here to see answer by Fombitz(32388)

Question 389461: I need to find the x intercept of this equation. I just dont get any of it.
4x+5y=8
Click here to see answer by ewatrrr(24785)

Question 389461: I need to find the x intercept of this equation. I just dont get any of it.
4x+5y=8
Click here to see answer by MathLover1(20849)

Question 389461: I need to find the x intercept of this equation. I just dont get any of it.
4x+5y=8
Click here to see answer by Earlsdon(6294)

Question 389528: what is the answer to : 2 (5)+ (85) =
Click here to see answer by haileytucki(390)

Question 389966: detremine whether the graphs of each pair of lines are parallel
3x+8=y
2y=6x-3
Click here to see answer by ewatrrr(24785)

Question 390136: what does it mean to justify your answer algebraically to decide whether the point lies on the graph of the line ?
Click here to see answer by richard1234(7193)

Question 390232: can you help me solve this:
In a system of axes consider the points A(-1,0) B(2,0) and M(x,y)
such that x^2-x-2+y^2=0
how can i find M ??
Click here to see answer by Edwin McCravy(20054)

Question 390247: Hi again, How would I plot this?: y = -3/5 x + 1
Could you also explain how its done. The ny state test is comming and I still can't figure it out especially with fractions in it.
Thanks :)
Click here to see answer by ewatrrr(24785)

Question 390246: Hi How do I plot 3 x - y - 1 = 0 on a coordinate grid? Could you also please explain how its done.

Click here to see answer by ewatrrr(24785)

Question 390336: sleeping habits of selected animals
Elephant sleeps four hours a day
Giraffe sleeps four hours a day
Hyena sleeps 18 hours a day, including resting
Jaguar sleeps eleven hours a day
Lion sleeps 20 hours a day, including resting
Mouse sleeps 13 hours a day
Okapi sleeps five hours a day
Rabbit sleeps ten hours a day
Raccoon sleeps 10 hours a day
Squirrel sleeps 14 hours a day
Question: Make a line plot of this data, then use the above information, and your line plot to estimate the number of hours a day a beaver sleeps.
Click here to see answer by richard1234(7193)

Question 390685: what is the y-coordinate of the system of equations? 4y-6x=15
Click here to see answer by solver91311(24713)

Question 390685: what is the y-coordinate of the system of equations? 4y-6x=15
Click here to see answer by Alan3354(69443)

Question 390679: what is the y-coordinate of the system of equations? 6y-4x=10
Click here to see answer by Alan3354(69443)

Question 390677: what is the y-coordinate of the system of equations? 4y-6x=15
Click here to see answer by Alan3354(69443)

Question 390682: What is the value of x in the following system of equations?
10x=3y+2
6y-4x=10
Click here to see answer by solver91311(24713)

Question 390808: A cellular phone plan costs $20 per month, including 120 minutes of air time. After that, you are charged $0.35 per minute.
Write an equation in slope-intercept form to describe the monthly cost of the phone plan, y. Let x=the number of minutes you use over 120 minutes.
Click here to see answer by mananth(16946)

Question 390810: You are saving money to buy a new stereo. You have $50 already and will save an additional $30 per month.
Write an equation in slope-intercept form to describe amount of savings you have, y. Let x=number of months you have been saving.
Use your graph to figure out how much money you will have after six months. Circle the point on the graph that gave you this information.
Click here to see answer by mananth(16946)

Question 390976: how do you graph 3x-4y<6 on a coordinate plane?
Click here to see answer by ewatrrr(24785)

Question 390955: I need help plotting coodinates. I cannot seem to figure out how to get the figures needed to graph.
Example: y=5x-4
Click here to see answer by solver91311(24713)

Question 391317: Prove that the equation of the perpendicualr bisector of the points (t, t+1) and (3t, t+3) is y + tx = 2t^2 + t + 2. If this perpendicular bisector passes through the point (5,2), calculate all the possible values of t.
Click here to see answer by solver91311(24713)

Question 391499: Tell whether the slope of a line that models each situation is positive, negative, zero, or undefined. Then find the slope.
1. The cost of tickets to the amusement park is $19.50 for 1 ticket and $78 for 4 tickets.
2. The late fee is $2 regardless of the number of days the movie is late.
3. On the trip, Jerry had his cruise control set at 60 mi/h for 4 hours.
4. The contract states that every day past the agreed upon completion date the project is not finished, the price is reduced by $25.
Click here to see answer by stanbon(75887)

Question 391493: Find the slope of the line that passes through each pair of points.
(2,1),(0,0)=
(4,5),(6,2)=
(3,8),(7,3)=
(1,0),(-4,2)=
(8,-4),(-6,-3)=
(-2,-3),(6,5)=

Thank you for your help.
Click here to see answer by Alan3354(69443)

Question 392244: determine the value of r so that a line through the points with the coordinates (r,4) and (-2,3) has slope 1/4

PLEASE HELP FASTT !! THANKYOUU(:
Click here to see answer by ewatrrr(24785)

Question 392488: graph the equation
x+2y=6
Click here to see answer by rfer(16322)

Question 392488: graph the equation
x+2y=6
Click here to see answer by MathLover1(20849)

Question 392994: How do I write an equation of a line that is parallel to a given line and passes through a given point?
Click here to see answer by Fombitz(32388)

Question 394364: Calculate the distance between the points A=(2,-9) and B=(-3,-6) in the Cartesian plane. The exact answer must be in Radical form.
Click here to see answer by stanbon(75887)

Question 394630: I am trying to graph a function and I understand how to solve it. What I do not understand is knowing what number to plot for example F(x)=-3x. I am not sure how to determine which number I use to solve the formula. Please help I am failing this class. How do you determine what numbers to plug into the function I can graph it and solve it but do not understand what numbers to use.
Click here to see answer by stanbon(75887)

Question 396315: find the distance between the points. Give an exact answer and approximation to three decimal places. (-2,8) and (-12,9)
Click here to see answer by Alan3354(69443)

Question 396363: -2x+4y=12 is this substitution or elimination?
here is another -4/3x-8y=3 same question, substitution or elimination?
Click here to see answer by richard1234(7193)

Question 397155: Find the x-intercept of the straight line
passing through P = (2, 3) and perpendicular
to
y + 3x = 8 .
Click here to see answer by jim_thompson5910(35256)

Question 397217: Find the image of A(-2, 3) in:
i) x-axis
ii) y-axis
iii) y = x
iv) y = -x
v) x = 1
vi) y = -2
vii) y = -x + 5

:) =)
Click here to see answer by ewatrrr(24785)

Question 397225: i am stuck in graphs of linear equations.could you please tell me how to solve the following problem:
draw the graph of the equation 2x+y-1=0
Click here to see answer by Alan3354(69443)

Question 397610: How do i graph y=-1/5x-2?
Click here to see answer by Alan3354(69443)

Question 397699: slope=-2 (-4,-2)
Click here to see answer by Alan3354(69443)

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