Final answer:
The equation of the line with slope 15 that contains the point (-10,-5) is y = 15x + 145.
Step-by-step explanation:
The equation of the line with slope m=15 that contains the point (-10,-5) can be found using the point-slope form of a linear equation given by y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. Plugging in the values, we have:
y - (-5) = 15(x - (-10))
y + 5 = 15(x + 10)
y + 5 = 15x + 150
y = 15x + 145
Therefore, the equation of the line is y = 15x + 145.