Question 24897: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.
the first one is (-1,3) and (4,-2)
the second one is (2,-3) and (2,4)
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! 1) Write the equation of the line passing through the points: (-1, 3) and (4, -2)
First, find the slope m, using the slope formula:
 where: (x1, y1) = (-1, 3) and (x2, y2) = (4, -2)
Now you can write, in slope-intercept form:  :
 Now you need to find the value of b, the y-intercept.
You do this by substituting the x- and y-values from either one of the two given points and solving for b. Let's use the second point (4, -2):
 Simplify and solve for b.
 Add 4 to both sides of the equation.
 Now you have b you can write the final equation in slope-intercept form:
Here's the graph of this line:
You can follow this procedure on the second problem.
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