Answer:
y = -7x -68
Explanation:
Given the line y = -7x+6, you want the equation of a parallel line through (-9, -5).
Slope-intercept form
The slope-intercept form of the equation of a line is ...
y = mx +b
Solving for b, the y-intercept, we find ...
y -mx = b
Parallel lines
Parallel lines have the same slope (m). The given line has a slope of m=-7, so that will be the slope in the equation you're looking for. The point (x, y) = (-9, -5) can be used with the above equation to find the y-intercept.
b = y -mx = -5 -(-7)(-9) = -5 -63
b = -68
Then the equation is ...
y = -7x -68