SOLUTION: Write the equation of the line passing through each of the pairs of points. Write your result in slope-intercept form, whereever possible. (-1,3) and (4,-2) Mcgraw Hill 6th e

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the line passing through each of the pairs of points. Write your result in slope-intercept form, whereever possible. (-1,3) and (4,-2) Mcgraw Hill 6th e      Log On


   



Question 53962: Write the equation of the line passing through each of the pairs of points. Write your result in slope-intercept form, whereever possible.
(-1,3) and (4,-2)
Mcgraw Hill 6th edition, chapter 7.3, problem 3 20. Thanks so much for your help!!!

Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
The slope, m, of a line is defined as m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29. So just substitute your ordered pairs into that equation to get m=%28-2-3%29%2F%284%2B1%29, which simplifies to m=-5%2F5 which reduces to m=-1. That means our equation is y=-x+b in slope intercept form. To find out what b is, substitute one of the ordered pairs. Taking (-1,3) gives us 3=1+b, which reduces to b=2. So our final equation is y=-x+2 and graphs to:
graph%28200%2C200%2C-5%2C5%2C-5%2C5%2C-x%2B2%29