Give given the slope of the line and one point that it passes through represent the equation of the line in point slope form then rewrite the equation in slope intercept form.

part A: (-4,7);m=-3/4

Slope intercept form needs two things. The slope and y-intercept.

y = mx + b

m = the slope

b = y-intercept.

In this problem, we are given the slope and a point the line passes through.

m = -3/4

So far we have y = -3/4x + b

To find b, we need to plug the point into the line.

-4 is the x-coordinate, so we plug -4 into x

7 is the y-coordinate, so we plug 7 into y

7 = -3/4(-4) + b

Simplify.

7 = 3 + b

Subtract 3 from both sides.

4 = b

Our equation is: y = -3/4x + 4

14

step-by-step explanation: