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Write the equation of the line in fully simplified slope-intercept form.

Write the equation of the line in fully simplified slope-intercept form.-example-1

1 Answer

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Answer:

y = -x + 2

Explanation:

[slope-intercept form] y = mx + b

m [slope] = ∆y/∆x = y₂–y₁ / x₂–x₁

b [y-intercept] = (0,b) → x = 0.

If y = 2 when x = 0, b = 2.

Since y decreases by 1 unit everytime x increases by 1 unit

a decrease by 1 unit is represented by -1, and an increase of 1 is represented by 1.

So a decrease of -1 over an increase of 1

is -1/1 = -1 = m.

User Steve Wortham
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