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Match each pair of points to the equation of the line that is parallel to the line passing through the points.
B(5, 2) and C(7, -5)
y = -0.5x − 3
D(11, 6) and E(5, 9)
y = -3.5x − 15
F(-7, 12) and G(3, -8)
y = 5x + 19
H(4, 4) and I(8, 9)
y = 1.25x + 4
J(7, 2) and K(-9, 8)
L(5, -7) and M(4, -12)

Respuesta :

sqdancefan

Answer:

  • BC — y = -3.5x -15
  • DE — y = -0.5x -3
  • FG — (no matching equation shown) y = -2x + b
  • HI — y = 1.25x +4
  • JK — (no matching equation shown) y = -0.375x + b
  • LM — y = 5x +19

Explanation:

Since you only want to identify the parallel line, you only need to compute the slope between the two points. That is ...

... m = (y2 -y1)/(x2 -x1)

The line of interest will have this slope value as its x-coefficient.

BC: the slope is (-5-2)/(7-5) = -7/2 = -3.5 . . . . matches y = -3.5x -15

DE: the slope is (9-6)/(5-11) = 3/-6 = -0.5 . . . . matches y = -0.5x -3

FG: the slope is (-8-12)/(3-(-7)) = -20/10 = -2 . . . . no match

HI: the slope is (9-4)/(8-4) = 5/4 = 1.25 . . . . matches y = 1.25x +4

JK: the slope is (8-2)/(-9-7) = 6/-16 = -0.375 . . . .  no match

LM: the slope is (-12-(-7))/(4-5) = -5/-1 = 5 . . . . matches y = 5x +19

Answer:

BC — y = -3.5x -15

DE — y = -0.5x -3

FG — (no matching equation shown) y = -2x + b

HI — y = 1.25x +4

JK — (no matching equation shown) y = -0.375x + b

LM — y = 5x +19

Step-by-step explanation:

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