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)
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