Question

Write in the point-slope form an equation of the line that passes through the point (3,−5) with slope −4.

Responses

y−3=−4(x+5)]

y=−4x+7y

y+5=−4(x−3)

y−5=−4(x−3)

Answer 1

C) y + 5 = - 4(x - 3)

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Point-slope form:

• y - y₁ = m(x - x₁), where m - slope, (x₁, y₁) - is the point on the line

Substitute the given coordinates and the slope to get the equation:

• y - (-5) = - 4(x - 3) ⇒ y + 5 = - 4(x - 3)

This is matching option C.