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

Mathematics

1 answer:

Sveta_85 [38]2 years ago

8 0

The equation of the line is: y + 3 = -6(x + 2) [point-slope form] or y = -6x - 15 [slope-intercept form].

<h3>How to Write the Equation of a Line?</h3>

Given a point (-2, -3) and a slope (m) of -6, you can write the equation of the line in point-slope form by substituting (a, b) = (-2, -3) and m = -6 into y - b = m(x - a):

y - (-3) = -6(x - (-2))

y + 3 = -6(x + 2) [point-slope form]

Rewrite in slope-intercept form as:

y + 3 = -6(x + 2)

y + 3 = -6x - 12

y = -6x - 12 - 3

y = -6x - 15 [slope-intercept form]

Learn more about the equation of a line on:

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