Question

Which is the equation of the line, in point-slope form, with a slope of 5 that passes through (1, −3)?

A. y = 5x − 3
B. y = −5x + 1
C. y + 3 = 5(x − 1)
D. y − 3 = 5(x + 1)

Answer 1

Answer: The correct answer is C. y + 3 = 5(x − 1)

Explanation:

Change the equation into slope-intercept form

y + 3 = 5(x − 1)

y = 5x - 8

Using the slope-intercept form of y = mx + b, m = slope, and b = the y-intercept.

Therefore, y = 5x - 8 has a slope of 5 and a y-intercept of -8

When we graph the slope from y = -8, it passes through (1, -3)