Question

Write an equation in point-slope form of the line with a slope of -3 that contains the point (-2, 1).

a) y - 1 = -3(x + 2)
b) y - 1 = -3x - 2
c) y = -3x + 1
d) 3y = -9x + 3

Answer 1

The equation of the line in point-slope form with a slope of -3 that passes through (-2, 1) is y - 1 = -3(x + 2), which is option (a).

Step-by-step explanation:

The student is asking for the equation of a line in point-slope form that has a slope of -3 and goes through the point (-2, 1). Point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Plugging in the given slope and point, the equation becomes y - 1 = -3(x + 2), which matches with option (a).