SOLUTION: Write the slope-intercept equation for the line that passes through (-4, -3) and (-6, 7). Please show all of your work

Algebra ->  Equations -> SOLUTION: Write the slope-intercept equation for the line that passes through (-4, -3) and (-6, 7). Please show all of your work      Log On


   

Question 638998: Write the slope-intercept equation for the line that passes through (-4, -3) and (-6, 7). Please show all of your work
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Note: is the first point . So this means that x%5B1%5D=-4 and y%5B1%5D=-3.
Also, is the second point . So this means that x%5B2%5D=-6 and y%5B2%5D=7.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%287--3%29%2F%28-6--4%29 Plug in y%5B2%5D=7, y%5B1%5D=-3, x%5B2%5D=-6, and x%5B1%5D=-4


m=%2810%29%2F%28-6--4%29 Subtract -3 from 7 to get 10


m=%2810%29%2F%28-2%29 Subtract -4 from -6 to get -2


m=-5 Reduce


So the slope of the line that goes through the points and is m=-5