Question

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

Answer 1

`\large\boxed{y=-(31)/(5)x-8}`

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=(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=(23-(-8))/(-5-0)=(31)/(-5)=-(31)/(5)`

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

`y=-(31)/(5)x-8`