SOLUTION: Given the slope of a line is -4/5 and a point on the line is (9,-7), find the y-intercept of the line algebraically.

Algebra ->  Linear-equations -> SOLUTION: Given the slope of a line is -4/5 and a point on the line is (9,-7), find the y-intercept of the line algebraically.       Log On


   

Question 669559: Given the slope of a line is -4/5 and a point on the line is (9,-7), find the y-intercept of the line algebraically.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Given the slope of a line is -4%2F5 and a point on the line is (9,-7),
the equation of the line can be written in point-slope form as
y-%28-7%29=%28-4%2F5%29%28x-9%29
That form of the equation can be transformed (algebraically) into the unique slope-intercept form.
y-%28-7%29=%28-4%2F5%29%28x-9%29 --> y%2B7=%28-4%2F5%29x-9%28-4%2F5%29 --> y%2B7=%28-4%2F5%29x%2B36%2F5
The y-intercept is highlight%2836%2F5%29=highlight%287%261%2F5%29