What is the equation of the line that passes through the point (-8,1)(−8,1) and has a slope of -3/4?

y= -3/4x-5

Step-by-step explanation:

To find the answer, use the point-slope form equation.

y-y^1= m(x-x^1)

Now substitute the variables.

y-1= -3/4(x--8)

A negative and a negative equal a positive, so that turns into a plus sign.

y-1= -3/4(x+8)

Now distribute into the parenthesis.

y-1=-3/4x+(-6)    *The plus sign turns into a minus sign

y-1= -3/4x-6

Now add 1 to both sides to isolate the y-variable.

y-1= -3/4-6

+1          +1

This turns into...

y= -3/4x-5

step-by-step explanation: