Write an equation for the line in slope-intercept form.

y - 3x - 3

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (- 2, 3 ) ← 2 points on the line

m = = = - 3

The y-intercept = (0, - 3 ) ⇒ c = - 3

y = - 3x - 3 ← in slope-intercept form

associative property of multiplication

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step-by-step explanation:

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