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.$y - y_1 = m(x - x_1)$
   $y - (-2) = -\frac{1}{2}(x - (-4))$
   $y + 2 = -\frac{1}{2}(x + 4)$
   $y + 2 = -\frac{1}{2}(x) - \frac{1}{2}(4)$
   $y + 2 = -\frac{1}{2}x - 2$
   $y = -\frac{1}{2}x - 4$
   $The\ answer\ is\ equal\ to\ C.$

3.$y - y_1 = m(x - x_1)$
   $y - (-6) = -0.38(x - 5)$
   $y + 6 = -0.38(x - 5)$
   $y + 6 = -0.38(x) + 0.38(5)$
   $y + 6 = -0.38x + 1.9$
   $y = -0.38 - 4.1$
   $The\ answer\ is\ equal\ to\ D.$