Question

Rewrite y=-3/4x-9 in point slope form. Further Information: Passes through (-4, 6) m=3/4

Answer 1

Point-slope form is y - y₁ = m(x- x₁)

Where (x₁,y₁) is a point that passes through the line and m is the slope.

We are given the point (-4,6) and a slope of 3/4.

Now, in the equation you were given, the slope is -3/4. But it states that the slope is 3/4. You might want to check on that. I'll go with the slope as 3/4.

The point-slope form would be:
y - 6 = (3/4)(x - (-4)
y - 6 = (3/4)* (x + 4)

y- 6 = 0.75(x + 4)

Answer 2

slope-intercept form: y=-3/4x-9

point slope form: y-6=-3/4(x+4)

You had -3/4x in your original equation, but then put it as m=3/4 on the bottom. Depending on which one it is that is what you put in for 3/4(x+4)