Question 1203835
<font color=black size=3>
m = 4 = slope
(x1,y1) = (6,-8) = point we want the line to pass through


y - y1 = m(x - x1) ...... point slope form
y - (-8) = 4(x - 6)
y + 8 = 4x - 24
y = 4x - 24 - 8
<font color=red size=4>y = 4x - 32</font> is the final answer (in slope-intercept form anyway).


Check:
Plug in x = 6 and we should arrive at y = -8
y = 4x - 32
y = 4*6 - 32
y = 24 - 32
y = -8
We have shown the point (6,-8) is on the line y = 4x-32.
Everything checks out.
</font>