Question

standard form for a line parallel to the line y=5x-12 and passing through the point (-2,-6)

Answer 1

if you are looking for a line that is parallel, the slope will be the same.
y = 5x + 12.....your slope is 5.

now we will use point slope formula :
y - y1 = m(x - x1)
using slope(m) = 5
(-2,-6) x1 = -2 and y1 = -6
now lets sub our stuff in...
y - (-6) = 5(x - (-2)
y + 6 = 5(x + 2)
y + 6 = 5x + 10
y = 5x + 10 - 6
y = 5x + 4
standard form is Ax + By = C
y = 5x + 4 (subtract 5x from both sides)
-5x + y = 4 (multiply by -1 to make x positive)
5x - y = -4

any questions ?

Answer 2

No, thank you very much your awesome.