Question

What is the standard form equation of the line passing through (–2, 8) with a slope of 2?

Answer 1

The equation for this type of problem is:
y-y1=m(x-x1) plugging in you get:
y-8=2(x--2) which translates to y-8=2(x+2) and you can simplify more if need be.

Answer 2

write the equation of circle in straight intercept form.
put the vales of x and y from the point,
determine the constant.
replace constant from slope intercept form. you will have your equation.

Answer 3

From above,
y-8=2(x+2)
y - 8 = 2x + 4 --> using the Distributive Property
y = 2x + 4 + 8
y = 2x + 12

Standard Form: the standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers.

y = 2x + 12
-2x + 1y = 12
Multiply through by -1
2x - 1y = -12