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Question 1143557: Solve the following.
a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.
You must show your work to receive credit.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52795)   (Show Source):
Answer by josgarithmetic(39618)  (Show Source):
You can put this solution on YOUR website! ------------------------------------------------------------------
a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.
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a:
If you have points (h,k) and (p,v), then slope from one of them to the other is  .
b:
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To find slope, solve for y in terms of x, and the slope will be the coefficient on the x term. YOU do that!
To find y-intercept, look at the constant term in what was done to find y in terms of x. If it was shown as "+b" for some positive b, then that is y-intercept. If it was shown as "-b" for some positive b, then  is the y-intercpt.
Alternatively, set x equal to 0 and solve for y, to get y-intercept.
c:
Use the formula for slope. Solve the resulting equation.
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