Question

Which equation represents a line that passes through (0,-8) and (-5,23)

Answer 1

Answer:

$\large\boxed{y=-\dfrac{31}{5}x-8}$

Step-by-step explanation:

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

$y=mx+b$

m - slope

b - y-intercept - (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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We have the points (0, -8) → b = -8, and (-5, 23).

Substitute:

$m=\dfrac{23-(-8)}{-5-0}=\dfrac{31}{-5}=-\dfrac{31}{5}$

Put the value of the slope and of the y-intercept to the equation of a line:

$y=-\dfrac{31}{5}x-8$