Write an equation in slope-intercept form for the line that passes through (-6, -2) and is parallel to y = -7x + 3.

If the line is parallel to y=-7x+3, it must have the same slope, that is: -7.

Hence, your line equation is:

y = -7 x + n

To calculate the intercept use the fact that the line passes through the point (-6,-2). If you substitute the coordinates of the point in the equation, the equation should hold (if the point belongs to the line):

-2 = -7× (-6) + n

Solve in n:

-2 = 42 + n ⇒ n = -44

The equation is:

y = -7 x - 44