Question

Choose the equation that represents the line passing through the point (-2, -3) with a slope of -6.

A) y = -6x - 15
B) y = -6x - 20
C) y = -6x + 15
D) y = -6x + 20

Answer 1

The equation that represents the line passing through the point (-2, -3) with a slope of -6 is y = -6x - 15.

Step-by-step explanation:

To find the equation of a line passing through a given point with a given slope, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1). In this case, the given point is (-2, -3) and the given slope is -6.

Plugging in the values, we get: y - (-3) = -6(x - (-2)). Simplifying, we have y + 3 = -6(x + 2). Expanding the equation gives us the final answer: y = -6x - 12 - 3, which simplifies to y = -6x - 15. Therefore, the correct equation is A) y = -6x - 15.