Question 1060011
"m" is the slope. 
We know 4/3 is the slope here.
Point-slope form is 
y - y1 = m(x - x1)
When you write point-slope form, the ordered pair they give you is used to plug in for x1 and y1 in point-slope form.

Here, your ordered pair (-6,5)
x1 = -6
y1 = 5

Plug in x1, y1, and the slope into the formula.

y - 5 = 4/3(x - (-6) 

Simplify. x - (-6) is the same as x + 6

y - 5 = 4/3(x + 6)

Now we need to get this into slope-intercept form. Distribute 4/3 into the parentheses.

y - 5 = 4/3*x + 4/3*6

Simplify. 
4/3*x is the same as 4/3x

4/3*6 is 8.

y - 5 = 4/3x + 8

Slope intercept form is y = mx + b. We need the y to be ALONE on the left side.

Add 5 on both sides. You can only add 5 to its like term, 8.

y = 4/3x + 13

Ta-da! :)