Question

Find an equation in point-slope form for the line having the slope m = -6 and containing the point (5,8).

A. y = -6x + 38
B. y = -6x + 8
C. y = 6x + 38
D. y = 6x + 8

Answer 1

The equation of the line in point-slope form is y = -6x + 38.

Step-by-step explanation:

The equation of a line in 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. In this case, the slope m is -6 and the point (x1, y1) is (5,8). Substituting these values into the equation:

y - 8 = -6(x - 5)

Expanding and simplifying:

y - 8 = -6x + 30

y = -6x + 38

Therefore, the equation of the line in point-slope form is y = -6x + 38, which is option A.