Question

Need help will give thanks and brainliest

Answer 1

Answer:

$3x+5y=-5$

Step-by-step explanation:

First, we can put the given information into an equation in point-slope form:

$y-y_1=m(x-x_1)$ when $(x_1,y_1)$ is the given point and $m$ is the slope

Plug in the point (-5,2)

$y-2=m(x-(-5))\\y-2=m(x+5)$

Plug in the slope $\frac{-3}{5}$

$y-2=\frac{-3}{5} (x+5)$

Open up the parentheses

$y-2=\frac{-3}{5} (x+5)\\y-2=\frac{-3}{5}x+\frac{-15}{5} \\y-2=\frac{-3}{5}x-3$

Multiply all values by 5 to rid the fraction

$5y-10=-3x-15$

Add 3x to both sides

$3x+5y-10=-3x-15+3x\\3x+5y-10=-15$

Add 10 to both sides

$3x+5y-10+10=-15+10\\3x+5y=-5$

I hope this helps!