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see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

(1)

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line

m = =

Note the line crosses the y- axis at (0, - 5) ⇒ c = - 5

y = x - 5 ← equation in slope- intercept form

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(2)

using the slope formula

with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (1, - 2) ← 2 points on the line

m = = = - 1

Note the line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - x - 1 ← equation in slope- intercept form

step-by-step explanation:

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