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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
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 (7.-5)
y=-0.5x - 3
D(11,6) and E(5,9)
y=-3.5x - 15
Fl-7. 12) and (3.-8)
y = 5x + 19
H(4.4) and 18,9)
y = 125x + 4
37.2) and K(-9,8)
L(5.-7) and M(4.-12)

Drag The Tiles To The Boxes To Form Correct Pairs Not All Tiles Will Be Used Match Each Pair Of Points To The Equation Of The Line That Is Parallel To The Line class=

Sagot :

akposevictor

The pair of points that matches to the equation of the line that is parallel to the line passing through it are:

  • y = -0.5x - 3 ----> D(11,6) and E(5,9)
  • y = -3.5x - 15 ----> B(5,2) and (7,-5)
  • y = 5x + 19 ----> L(5,-7) and M(4, -12)
  • y = 1.25x + 4 ---> H(4,4) and I(8,9)

Slope-intercept Form Equation of Parallel Lines

  • Where, y-intercept is b, and slope is m, the equation of a line in slope-intercept form is: y = mx + b.
  • Slope (m) = change in y / change in x.
  • Parallel lines have the same slope value.

The equations given and their slopes are:

  • y = -0.5x - 3, slope (m) = -0.5
  • y = -3.5x - 15, slope (m) = -3.5
  • y = 5x + 19, slope (m) = 5
  • y = 1.25x + 4, slope (m) = 1.25

Find the slope (m) between each set of points given.

Slope between B(5,2) and (7,-5):

slope (m) = (-5 - 2)/(7 - 5) = -3.5

Slope between D(11,6) and E(5,9):

slope (m) = (9 - 6)/(5 - 11) = -0.5

Slope between F(-7, 12) and (3,-8):

slope (m) = (-8 - 12)/(3 - (-7)) = -2

Slope between H(4,4) and I(8,9):

slope (m) = (9 - 4)/(8 - 4) = 1.25

Slope between J(7,2) and K(-9,8):

slope (m) = (8 - 2)/(-9 - 7) = -0.375

Slope between L(5,-7) and M(4, -12):

slope (m) = (-12 -(-7))/(4 - 5) = 5

Therefore, the pair of points that matches to the equation of the line that is parallel to the line passing through it are:

  • y = -0.5x - 3 ----> D(11,6) and E(5,9)
  • y = -3.5x - 15 ----> B(5,2) and (7,-5)
  • y = 5x + 19 ----> L(5,-7) and M(4, -12)
  • y = 1.25x + 4 ---> H(4,4) and I(8,9)

Learn more about slope of parallel lines on:

https://brainly.com/question/10703469

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