Question

Write an equation of the line that passes through the point (4, –5) with slope 2.

A. y−4=−2(x+5)
B. y+5=2(x−4)
C. y−4=2(x+5)
D. y+5=−2(x−4)

Answer 1

The correct choice is option B. y + 5 = 2(x−4)

Explanation:

slope = 2

y = mx + b

-5 = 2(4) + b

-5 = 8 + b

-8 -8

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-13 = b

y = 2x - 13, in other words --> y + 5 = 2(x−4)

So, y + 5 = 2(x − 4) is the equation of the line that passes through (4, -5).