mackenzieferrell
contestada

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

Respuesta :

Leora03

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,

[tex]y = - \frac{4}{5} x + c[/tex]

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

When x= -5, y= -4,

[tex] - 4 = - \frac{4}{5} ( - 5) + c \\ - 4 = 4 + c \\ c = - 4 - 4 \\ c = - 8[/tex]

Thus, the equation of the line is

[tex]y = - \frac{4}{5} x - 8[/tex]

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