Question

5. Find the equation of the line that is

Answer 1

Answer:

$y=-\frac{4}{3} x+\frac{10}{3}$

Step-by-step explanation:

First, we need to get this in y=mx+b form.

m=slope

b=y axis intercept

8x+6y+1=0

8x+6y=-1

6y=-8x-1

$y=-\frac{4}{3}x-\frac{1}{6}$

now that we have it in y=mx+b form, we know the slope. For the new equation, the slope will be the same and the only thing we don't know is the y axis intercept, so we'll have to solve for it.

$6=-\frac{4}{3}(-2)+b\\6=\frac{8}{3} +b\\\frac{10}{3}=b$

Now that we know b, we just put it with the rest of the equation.

$y=-\frac{4}{3} x+\frac{10}{3}$