Question

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

Answer 1

Answer:

B

Step-by-step 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,

$y = - \frac{4}{5} x + c$

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

When x= -5, y= -4,

$- 4 = - \frac{4}{5} ( - 5) + c \\ - 4 = 4 + c \\ c = - 4 - 4 \\ c = - 8$

Thus, the equation of the line is

$y = - \frac{4}{5} x - 8$