SOLUTION: Use point-slope form to determine the equation of the line passing through the two given points. Then write the equation in slope-intercept form. (5,9), (1,-23)

Algebra ->  Linear-equations -> SOLUTION: Use point-slope form to determine the equation of the line passing through the two given points. Then write the equation in slope-intercept form. (5,9), (1,-23)       Log On


   

Question 173073: Use point-slope form to determine the equation of the line passing through the two given points. Then write the equation in slope-intercept form.
(5,9), (1,-23)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

First let's find the slope of the line through the points and


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


m=%28-23-9%29%2F%281-5%29 Plug in y%5B2%5D=-23, y%5B1%5D=9, x%5B2%5D=1, and x%5B1%5D=5


m=%28-32%29%2F%281-5%29 Subtract 9 from -23 to get -32


m=%28-32%29%2F%28-4%29 Subtract 5 from 1 to get -4


m=8 Reduce


So the slope of the line that goes through the points and is m=8


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y-9=8%28x-5%29 Plug in m=8, x%5B1%5D=5, and y%5B1%5D=9


y-9=8x%2B8%28-5%29 Distribute


y-9=8x-40 Multiply


y=8x-40%2B9 Add 9 to both sides.


y=8x-31 Combine like terms.


y=8x-31 Simplify


So the equation that goes through the points and is y=8x-31