Question

1. Write an equation in point-slope form for the given point with the given slope. (8, 3); m=6

A) y + 3 = 6(x – 8)
B) y – 3 = 6(x – 8)
C) y – 3 = 6(x + 8)
D) y + 3 = 6x + 8

2. Write an equation in point-slope form for the given point with the given slope. (-4, -2); m = -1/2
A) y + 2 = -1/2(x – 4)
B) y + 2 = (-1/2) x – 4
C) y + 2 = -1/2(x + 4)
D) y – 2 = -1/2(x – 4)

3. Write an equation in point-slope form for the given point with the given slope. (5, -6); m = -0.38
A) y + 6 = -0.38(x + 5)
B) y – 6 = -0.38x – 5
C) y – 6 = -0.38(x + 5)
D) y + 6 = -0.38(x – 5)

Answer 1

1.
`y - y_1 = m(x - x_1)`

`y - 3 = 6(x - 8)`

`y - 3 = 6(x) - 6(8)`

`y - 3 = 6x - 48`

`y = 6x - 45`

`The\ answer\ is\ equal\ to\ B.`

2.
`y - y_1 = m(x - x_1)`

`y - (-2) = -(1)/(2)(x - (-4))`

`y + 2 = -(1)/(2)(x + 4)`

`y + 2 = -(1)/(2)(x) - (1)/(2)(4)`

`y + 2 = -(1)/(2)x - 2`

`y = -(1)/(2)x - 4`

`The\ answer\ is\ equal\ to\ C.`

3.
`y - y_1 = m(x - x_1)`

`y - (-6) = -0.38(x - 5)`

`y + 6 = -0.38(x - 5)`

`y + 6 = -0.38(x) + 0.38(5)`

`y + 6 = -0.38x + 1.9`

`y = -0.38 - 4.1`

`The\ answer\ is\ equal\ to\ D.`