Question

Which of the following is the point-slope form of the equation of the line that has a slope of -7 and passes through the point (6, -1)?

A) y - (-1) = -7(x - 6)
B) y = -7x - 1
C) y - 6 = -7(x + 1)
D) y = -1 - 7x

Answer 1

The point-slope form of the equation of a line with a given slope and point is y - y1 = m(x - x1). Plugging in the values, the correct equation is y - (-1) = -7(x - 6), which corresponds to option A.

Step-by-step explanation:

The point-slope form of the equation of a line is given by the equation y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

In this case, the slope is -7 and the point (6, -1) lies on the line. Plugging these values into the point-slope equation, we get:
y - (-1) = -7(x - 6)

After simplifying, the correct equation is y - (-1) = -7(x - 6), which corresponds to option A.