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

Step-by-step explanation:

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

m - slope

b - y-intercept - (0, b)

The formula of a slope:

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

Substitute:

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

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)