SOLUTION: how do i find the equation of the line that passes through points (3,1), (0,3), (-2,k) and how do i find its value of k?

Algebra ->  Linear-equations -> SOLUTION: how do i find the equation of the line that passes through points (3,1), (0,3), (-2,k) and how do i find its value of k?      Log On


   

Question 645950: how do i find the equation of the line that passes through points (3,1), (0,3), (-2,k) and how do i find its value of k?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
how do i find the equation of the line that passes through points
(3,1), (0,3), (-2,k) and how do i find its value of k?
:
Assuming it is a linear equation
Find the slope using the 1st two points
We know the y intercept from the 2nd point,(0,3)
:
m = %283-1%29%2F%280-3%29 = -2%2F3
:
The slope/intercept equation: y = -2%2F3x + 3
:
the 3rd point: (-2,k)
x = -2 and k=y, therefore
k = -2%2F3(-2) + 3
k = 4%2F3 + 3
k = 11%2F3 + 3
k = 41%2F3