Write an equation in point-slope form for the line through the given point with the given slope. (-4, 6); m = 3/4 a. y- 6 = 3/4x+4 b. y-6 = 3/4 (x - 4) c. y-6 = 3/4 (x + 4) d. y + 6 = 3/4 (x + 4)

y - 6 = (3/4) (x + 4)

Explanation:
The general form of the linear line in point-slope form is:
y - y1 = m (x - x1)
where 
m is the slope
(x1 , y1) are the coordinates of the given point on the line

In the give, we have:
m = 3/4
x1 = -4
y1 = 6

Substitute with the givens in the above formula to get the equation as follows:
y - y1 = m (x - x1)
y - 6 = (3/4) (x - -4)
y - 6 = (3/4) (x + 4)

Hope this helps :)