SOLUTION: Find an equation of the line having the given slope and containing the given point.x/8= -4y/5

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Question 189761: Find an equation of the line having the given slope and containing the given point.x/8= -4y/5
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given: m=4/5,(4,-9)

Via Slope-Intercept Form, y=mx+b

Finding y-intercept "b":

-9=%284%2F5%29%284%29%2Bb
-9=%2816%2F5%29%2Bb
-9-%2816%2F5%29=b
%28-45-16%29%2F5=b
red%28b=-61%2F5%29, y-Intercept (0,-61/5)

It follows ---> highlight%28y=%284%2F5%29x-61%2F5%29 or
%28-4%2F5%29x%2By%2B61%2F5=0 ---> highlight%28-4x%2B5y%2B61=0%29, Standard Form (Answer)

To verify, we'll get the intercepts:
Let Fy=0 ----> -4x%2B5%280%29%2B61=0
-4x=-61 ---> cross%28-4%29x%2Fcross%28-4%29=-61%2F-4
red%28x=61%2F4%29, x-Intercept (61/4,0) or (15.25,0)

Let Fx=0 ---> -4%280%29%2B5y%2B61=0
5y=-61 ---> cross%285%29y%2Fcross%285%29=-61%2F5
red%28y=-61%2F5%29,y-Intercept (0,-61/5) or (0,-12.2)

As we see,


Thank you,
Jojo