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Find the equation of the line with slope m=15 that contains the point (−10,−5).

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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.

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