Question

A line passes through the point (-6,8) and has a slope of -5/2. Write an equation in point-slope form for this line.

A. y - 8 = (-5/2)(x + 6)
B. y - 8 = (-2/5)(x - 6)
C. y = (-5/2)x + 8
D. y = (-2/5)x + 8

Answer 1

The equation in point-slope form for the line passing through (-6,8) with a slope of -5/2 is y - 8 = (-5/2)(x + 6), which corresponds to option A.

Step-by-step explanation:

The student asked for the equation of a line in point-slope form that passes through the point (-6,8) with a slope of -5/2. The point-slope form of the equation of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point the line passes through. Substituting the given point and slope into the point-slope form, the equation becomes y - 8 = (-5/2)(x + 6), which matches option A.