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What is the equation of the line that passes through the point (-1, -3) and has a slope of -5?
A) y=-5x-8
B) y=-5x-16
C) y=-5x+16
D) y=-5x+8

Respuesta :

gmany

Answer:

A) y = -5x - 8

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point on a line

We have the slope m = -5, and the point (-1, -3). Substitute:

[tex]y-(-3)=-5(x-(-1))\\\\y+3=-5(x+1)[/tex]

Convert to the slope-intercept form (y = mx + b):

[tex]y+3=-5(x+1)[/tex]          use the distributive property

[tex]y+3=-5x-5[/tex]            subtract 3 from both sides

[tex]y=-5x-8[/tex]

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