Which of the following represents an equation of a line with a slope of -4 and that passes through the point (-2, 3)? A. y - 3 = -4 (x+2) B. y + 3 = -4 (x-2) C. y = -4x -2 D. y=-4x+3
Mathematics · High School · Tue Nov 03 2020
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The equation of line that passes through a point (x1, y1) and a slope m is given by (y - y1) = m (x - x1)
The equation of a line in slope intercept form is given by y = mx + c Where, m = slope, c = constant term, y = y-intercept
Given that:- m = -4 and (x1, y1) = (-2, 3)
Now, the equation of the line is y - 3 = -4(x + 2)
y - 3 = -4x - 8
y = -4x + 3 - 8
y = -4x - 5
Therefore, the equation of the line is y = -4x - 5.
Answer: A) y - 3 = -4 (x+2)