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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 :

Panoyin
1.[tex]y - y_1 = m(x - x_1)[/tex]
   [tex]y - 3 = 6(x - 8)[/tex]
   [tex]y - 3 = 6(x) - 6(8)[/tex]
   [tex]y - 3 = 6x - 48[/tex]
   [tex]y = 6x - 45[/tex]
   [tex]The\ answer\ is\ equal\ to\ B.[/tex]

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

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

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