Question

Slope criteria for Parallel and Perpendicular Lines: Mastery Test
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
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Given: A B || CD
If the coordinates of point A are (8.0) and the coordinates of point Bare (3.7), the y-intercept of AB is
. If the coordinates of
point Dare (5,5). the equation of line CD is y=
X +
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Answer 1

Answer:Each of the points and the y-intercept of their perpendicular bisectors

Step-by-step explanation:

Answer 2

Where AB and CD are parallel lines:

the y-intercept of line AB is -56/5

the equation of line CD is: y = 7/5x - 2

What is the Slope of Parallel Lines?

If two lines are parallel, they will have the same slope (m) value in their equation, y = mx + b (slope-intercept form).

Find the slope of AB:

Slope of AB (m) = change in y / change in x = (7 - 0)/(3 - 8) = 7/5

To find the y-intercept (b) of AB, substitute (x, y) = (8, 0) and m = 7/5 into y = mx + b

0 = 7/5(8) + b

0 - 56/5 = b

b = -56/5 (y-intercept of AB)

AB is parallel to CD, so, CD will have the same slope of 7/5.

To find the equation of CD, substitute m = 7/5 and (a, b) = (5, 5) into y - b = m(x - a)

y - 5 = 7/5(x - 5)

y - 5 = 7/5x - 7

y = 7/5x - 7 + 5

y = 7/5x - 2 (equation of line CD)

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