+0

# help

0
105
1

Write an equation in point-slope form for the line that has a slope of 9/8 and contains the point (9,−5).

Jun 27, 2020

#1
+600
+5

If you are familiar with the standard form it is $$y=ax+b$$ where $$a$$ is slope and $$b$$ is a constant. Let's put our slope in to change the equation to: $$y=\frac{9}{8}x+b$$. Now all we have to do is solve for $$b$$ since we are given the point (9,-5). Let's plug it in to form the equation: $$-5=\frac{9}{8}\times9+b$$. Now we solve it: $$-5=\frac{81}{8}+b$$. So $$b$$ is equal to $$-5-\frac{81}{8}\Rightarrow\frac{-121}{8}$$. Now we rewrite the equation: $$y=\frac{9}{8}x-\frac{121}{8}$$

Jun 27, 2020