If the equation y = mx+5 represents a line that passes a point (-3, -9), determine the slope m.

Answer 1

To determine the slope m, we need to substitute the coordinates of the point (-3,-9) into the equation y = mx + 5.

-9 = m(-3) + 5

Simplifying the equation, we get:

-9 = -3m + 5

Next, we subtract 5 from both sides of the equation:

-14 = -3m

Finally, we divide by -3 to solve for m:

m = -14 / -3

m = 14 / 3

Therefore, the slope m is 14/3.