SOLUTION: Write the equation in slope-intercept form for the line passing through each pair of points (-1,3) and (2,-5)

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Question 349745: Write the equation in slope-intercept form for the line passing through each pair of points (-1,3) and (2,-5)
Found 2 solutions by jim_thompson5910, solver91311:
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=%28-5-3%29%2F%282--1%29 Plug in y%5B2%5D=-5, y%5B1%5D=3, x%5B2%5D=2, and x%5B1%5D=-1


m=%28-8%29%2F%282--1%29 Subtract 3 from -5 to get -8


m=%28-8%29%2F%283%29 Subtract -1 from 2 to get 3


So the slope of the line that goes through the points and is m=-8%2F3


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-3=%28-8%2F3%29%28x--1%29 Plug in m=-8%2F3, x%5B1%5D=-1, and y%5B1%5D=3


y-3=%28-8%2F3%29%28x%2B1%29 Rewrite x--1 as x%2B1


y-3=%28-8%2F3%29x%2B%28-8%2F3%29%281%29 Distribute


y-3=%28-8%2F3%29x-8%2F3 Multiply


y=%28-8%2F3%29x-8%2F3%2B3 Add 3 to both sides.


y=%28-8%2F3%29x%2B1%2F3 Combine like terms. note: If you need help with fractions, check out this solver.


y=%28-8%2F3%29x%2B1%2F3 Simplify


So the equation that goes through the points and is y=%28-8%2F3%29x%2B1%2F3


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the two-point form of an equation of a line:



where and are the coordinates of the given points.

Then arrange the equation into

form.

John

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