Question

Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5,−4).

A. y=−4/5x−5

B. y=−4/5x−8

C. y=−4/5x−4

D. y=−4/5x+4

Answer 1

B

Explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -4/5,

`y = - (4)/(5) x + c`

To find the y-intercept, substitute a pair of coordinates.

When x= -5, y= -4,

`- 4 = - (4)/(5) ( - 5) + c \\ - 4 = 4 + c \\ c = - 4 - 4 \\ c = - 8`

Thus, the equation of the line is

`y = - (4)/(5) x - 8`