Question

What is the equation of a line that has a slope of -5 and passes through the point (0, 2)?

A.y = -5x
B.y = -5x + 2
C.y = 2x - 5

Answer 1

B, y = -5x + 2

Step-by-step explanation

the equation of a line can be written in the y = mx + b form where

m is the slope

b is the y-intercept or the y-value when x is 0

since the slope is given at -5, m = -5

since the point passes through (0, 2), when x is 0, the y-value is 2, so b = 2

plug in m and b into y = mx + b

y = mx + b

y = -5x + 2

answer choice B