1. Write an equation in point-slope form for the given point with the given slope. (8, 3); m=6
Ay + 3 = 6(x – 8)
By – 3 = 6(x – 8)
Cy – 3 = 6(x + 8)
Dy + 3 = 6x + 8

  1. Write an equation in point-slope form for the given point with the given slope. (-4, -2); m = -1/2
Ay + 2 = -1/2(x – 4)
By + 2 = (-1/2) x – 4
Cy + 2 = -1/2(x + 4)
Dy – 2 = -1/2(x – 4)

  1. Write an equation in point-slope form for the given point with the given slope. (5, -6); m = -0.38
Ay + 6 = -0.38(x + 5)
By – 6 = -0.38x – 5
Cy – 6 = -0.38(x + 5)
Dy + 6 = -0.38(x – 5)

Verified Answer :

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