Question

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)

Answer 1

I’ think the answer is C but I could be wrong

Answer 2

Answer:
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 :)