William W. answered • 11/12/19
Math and science made easy - learn from a retired engineer
Memorize the point-slope form of a line. It is y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point that the line goes through.
You have been given both of those things. the slope (or "m") = 8 and a point (x1, y1) is (-5, 9) so x1 is -5 and y1 is 9. Plug those in to get:
y - 9 = 8(x - -5) or
y - 9 = 8(x + 5)
Since they didn't ask for the line in any particular format, that's it, you are done. If they had asked for the line in slope-intercept form (y = mx + b) you could multiply out the answer you got and combine like-terms to get:
y - 9 = 8(x + 5)
y - 9 = 8x + 40
y = 8x + 49
But that isn't necessary in this case.
