Question

Item 4

Write an equation in point-slope form of the line that passes through the point (2,−8) and has a slope of 4.

Answer 1

y = 4x - 16

Explanation:

Plug in the slope and point into y = mx + b, and solve for b:

y = mx + b

-8 = 4(2) + b

-8 = 8 + b

-16 = b

Then, plug in b and the slope into y = mx + b

y = 4x - 16 is the equation in point slope form

Answer 2

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Answer:

y +8 = 4(x -2)

Explanation:

Point-slope form of the equation of a line is ...

y -k = m(x -h) . . . . . line of slope m through point (h, k)

Filling in the given point and slope, you have ...

y -(-8) = 4(x -2)

y +8 = 4(x -2)