SOLUTION: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible. Please show how to do this. Thanks

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Question 69067This question is from textbook
: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible. Please show how to do this. Thanks
20. (-1, 3) and (4, -2)
24. (2, -3) and (2, 4)
This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The slope is the change in y over the change in x, or the "rise" over the "run"
So to find the change in y, subtract the y values of the two points; and to find the change in x, subtract the x coordinates.
Slope: m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
20.
using the slope formula
m=%28-2-3%29%2F%284-%28-1%29%29
m=-5%2F5=-1
Once we have the slope we can plug in any point to complete the equation. Lets plug in (-1,3) into the general form of the linear equation y=mx+b to solve for b, the y-intercept.
y=mx%2BbStart with the general form
3=%28-1%29%2A%28-1%29%2BbPlug in known values
b=3-1=2Solve for b
So the equation is y=-x+2
24. Use the same procedure
m=%284-%28-3%29%29%2F%282-2%29
m=7%2F0Now I must remind you that 7/0 is not defined, so there is no slope
In this case, the equation isn't even in y form; the equation is in x form. So the equation is simply x=2.