Question

Write an equation in point-slope form for the line that passes through each point with the given slope. (1, –6), m = –1

a. y + 6 = (x – 1)
b. y – 1 = –(x + 6)
c. y – 6 = –(x – 1)
d. y + 6 = –(x – 1)

Answer 1

The equation in point-slope form for the line passing through the point (1, -6) with a slope of -1 is y + 6 = -1(x - 1).

Step-by-step explanation:

The equation in point-slope form for the line passing through the point (1, -6) with a slope of -1 is:

y + 6 = -1(x - 1)

This equation represents a line with a slope of -1 and passes through the point (1, -6). It can be written in slope-intercept form as y = -x + 5, where the slope is -1 and the y-intercept is 5.