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

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Question 1016505: Write an equation of the line perpendicular to y=-4x+2 and passes through (0,2)
Click here to see answer by macston(5194)

Question 1016493: write an equation for the line that passes through the point (8,2) and is parallel to y=-7
Click here to see answer by ikleyn(52780)

Question 1016493: write an equation for the line that passes through the point (8,2) and is parallel to y=-7
Click here to see answer by FrankM(1040)

Question 1016515: Write an equation of a line in slope intercept form that contains the ordered pairs (-3,4) and (1,-4)
Click here to see answer by Boreal(15235)

Question 1016488: At what points do the lines intersect? Y=3x and X=2x^2.
Choices: (3,0);(0,3);(-3,0; (0,-3)
y=3x
X 3x y (x,y)
0 3(0) 0 (o,o)
3 3(3) 9 (3,9)
-3 3(-3) -9 (-3,-9)
x=2x^2
x 2X^2 Y (X,Y)

Click here to see answer by Boreal(15235)

Question 1016626: Please help me solve this problem: 4-6y 4=4y 16-6y.
Click here to see answer by fractalier(6550)

Question 1016626: Please help me solve this problem: 4-6y 4=4y 16-6y.
Click here to see answer by algebra hello(55)

Question 1016627: Please help me solve this problem: 19-(4m+6)=2+4m-13.
Click here to see answer by algebra hello(55)

Question 1016627: Please help me solve this problem: 19-(4m+6)=2+4m-13.
Click here to see answer by rothauserc(4718)

Question 1016629: Please help me solve this problem: The difference of nine times a number and 6 results in five times the difference of twice the number and 3.
Click here to see answer by rothauserc(4718)

Question 1016630: Please help me solve this problem: The difference of nine times a number and 6 results in five times the difference of twice the number and 3.
Click here to see answer by FrankM(1040)

Question 1016542: Find the slope of 5y=-3. Also find the x and y-intercept and one additional point.
I divided 5 from both sides. y= -3/5. Is -3/5 the y-intercept? How do I find the slope? An additional point? Please help me as I am so confused. Please simply your answer. Thank you.
Click here to see answer by josmiceli(19441)

Question 1016654: Find an equation of the line passing through the pair of points. Write the equation in the form Ax + By =C
Points are (-7,4) (-8,-5)
Click here to see answer by fractalier(6550)

Question 1016677: draw a line that has the given slope and y-intercept slope -1/3 y-intercept (0,3)
Click here to see answer by stanbon(75887)

Question 1016687: write an equation of the line parellel to the line given by 3x-4y=12 and having the same y-intercept as the line 5x+3y=6. I need all work shown to get the answer
Click here to see answer by ankor@dixie-net.com(22740)

Question 1016746: What's 7+5k=8k+1

Click here to see answer by macston(5194)

Question 1016700: find the slope of the line perpindicular to the line given by 3x-5y=8. show all work to get the answer
Click here to see answer by rothauserc(4718)

Question 1016813: Find the slope of the line containing the points (2,7) and (-1,-8).
I am completely new to this, my 1st time learning this, and I am VERY lost! So I tried to solve for M and came up with 1/1 so far for the fraction that came out of equation. Thank you for your help!
Click here to see answer by ankor@dixie-net.com(22740)

Question 1016866: How do I create a single data point consisting of point (4,-4) by finding the equation of a line parallel to the 3y-27=9x and through your point (4, -4; respond to the next student in the assigned number list by finding the equation of a line perpendicular to the original line and through your point. Show all of your work.
Click here to see answer by josgarithmetic(39617)

Question 1016864: F(x)=x squared
What I'd the average rate of change between x1=0 and x2=4
Dyslexic and can't figure it out using my text book. I think it's slope intercept or a quadratic something
Click here to see answer by josgarithmetic(39617)

Question 1016848: An equation of a line through (-6, 9) which is perpendicular to the line y=4 x +1 has the following slope and b. Slope ? B?
Click here to see answer by josgarithmetic(39617)

Question 1016975: in this Verbal excersice I have to present a linear algebraic equation
mark and don are planning to sell each of their marble collections at a garage sale. if don has 1 more than 3 times the number of marbles mark has, how many does each boy have to sell if the total number of marbles 113?
Click here to see answer by rothauserc(4718)

Question 1017111: How do I find the standard form of the equation of the line with slope -1/4 passing through the point (-6, -3)
Click here to see answer by Alan3354(69443)

Question 1017160: What is the standard form when your x intercept is -2 and your y intercept is 6

Click here to see answer by Alan3354(69443)

Question 1017161: (-6,-6) ;Parallel to -x+6y=30 the equation of the line is ?
Click here to see answer by fractalier(6550)

Question 1017228: Hello Tutors,
I need to find the equation of a line perpendicular to y=-5 and through the point (14,-14). I need to show my work. Can someone explain in laymen's terms?
Click here to see answer by Boreal(15235)

Question 1017276: I need to write an equation to show what X and Y are and solve for X and Y
Question 1- "A 110 point final exam is mad up of 50 questions. Some questions are worth 2 points and some are worth 4 points. How many of each type of question are on the test?"
Question 2- "One gym charges $40 per month and $3 per exercise class. Another gym charges $20 per month and $8 per exercise class. After how many exercise classes will the monthly cost be the same and what will that cost be?"
Question 3- "Martha went to the movies. She purchased some $14 movie tickets and some 412 movie tickets. She purchased a total of $9 tickets for $114. How many of each type of ticket did she buy?"
Question 4(final)- "A small soda costs $0.45 and a large soda costs $0.65. 35 sodas were sold for a total of $18.55. How many of each size soda were sold?"
Click here to see answer by macston(5194)

Question 1017281: Bridget eats 1 banana and 5 pretzel rods and her calorie app tells her she consumed 657 calories. Her friend eats 1 banana and 5 pretzel rods and her app says she consumed 656 calories. The girls want to know how many calories are in each food. Write a system of equations for this problem and solve using the substitution method.
I tried x + y = 6
And x + 5y = 657
That doesn't seem right though!
Click here to see answer by macston(5194)

Question 1017319: A family of lines have equations of the form where a is a non-zero number.
b Find the gradient of the line in terms of a.
c Find the value of a if the gradient is

Also what does it mean if it says 'In terms of'
Thanks!
Click here to see answer by josgarithmetic(39617)

Question 1017328: It says to solve problem.
x=3y+9
9-x=-3y
Click here to see answer by FrankM(1040)

Question 1017456: M=-3; (1,4)
Click here to see answer by ikleyn(52780)

Question 1017503: Hi!
What are the equations of the lines through (8,-3) and passing at distance √10 from (3,2)?
I've answered all my homework except this.
Please help! Thanks!
Click here to see answer by ikleyn(52780)

Question 1017590: what is the y intercept of the given linear equation?
y=3/2 x-1/4
A: (0, 1/4)
B: (0, -1/4)
C: (0, -4)
D: (0, 1)

Click here to see answer by Cromlix(4381)

Question 1017585: what is the slope of the given linear equation?
y=-1/2x-2
A: 2
B: -2
C: -1/2
D: -1/2x
Click here to see answer by Cromlix(4381)

Question 1017606: Jane rides her bike to Lake Moultrie. Going to the lake she averages 12mph. On the return trip, she averages 10 mph. If the round trip takes a total of 5.5 hours, how long does the return trip take?
Click here to see answer by Alan3354(69443)

Question 1017659: Including a 9% sales tax, a new watch costs $430.55. Find the cost of the watch before tax.
Click here to see answer by FrankM(1040)

Question 1017666: Ten times a number is greater than 52 by 8.Find the number.
Click here to see answer by ikleyn(52780)

Question 1017673: Assume y & x
If y =12 when x= 15
Find x when y = 12
Click here to see answer by ikleyn(52780)

Question 1017673: Assume y & x
If y =12 when x= 15
Find x when y = 12
Click here to see answer by MathTherapy(10552)

Question 1017900: what is the equation that satisfies this.
The line passing through the origin and parallel to the line passing through the points (-3, 8) and (7, 4)
Click here to see answer by josmiceli(19441)

Question 1017913: What is the equation of the line that contains the point (0, -1) and has a slope 3?
Click here to see answer by Alan3354(69443)

Question 1017913: What is the equation of the line that contains the point (0, -1) and has a slope 3?
Click here to see answer by Cromlix(4381)

Question 1017914: Can someone please explain to me what a slope actually is? Is it a value? Is it the y-value? if so why the y-value?
I know it's defined like m = (y2-y1)/(x2-x1) but that doesn't make sense to me. Why the change in y's and the changes in x's? I don't get it. And why are they being divided? what does division do to them? Why does subtracting the y or x values give us their overall change? Is y the change in height and x the change in length? Or should I think of it like vertical distance / horizontal distance?
I think I understand parts of slope, like slope can be thought of like an angle and at what angle it is shows how much it rises or falls over a certain region, I think? like a gradual increase or decrease?
This is such a confuses concept for me. How can slope be a value? like how does that even work?

Thank you

Click here to see answer by Alan3354(69443)

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