Question

What is the equation in point-slope form of a line that passes through the point (-2, 0) and has a slope of 5/2? a) y - 0 = (5/2)(x - (-2)) b) y = (5/2)x c) y - 0 = (5/2)(x - (-2)) d) y = (5/2)(x - (-2))

Answer 1

The equation in point-slope form of a line passing through the point (-2, 0) and with a slope of 5/2 is y - 0 = (5/2)(x - (-2)).

Step-by-step explanation:

The equation in point-slope form of a line passing through the point (-2, 0) and with a slope of 5/2 is:

y - 0 = (5/2)(x - (-2))

Let's break it down step-by-step:

1. Substitute the coordinates of the point (-2, 0) into the equation: y - 0 = (5/2)(x - (-2))
2. Simplify the equation: y = (5/2)(x + 2)

So, the correct answer is a) y - 0 = (5/2)(x - (-2)).

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