Three of the vertices of a trapezoid are a(3,-3), b(12, 6) and c(4, 8). the fourth vertex is labeled d. one of its bases is ab.
what is the equation of the line that includes base cd?
a. y = 4x + 1
b. y = 4
c. y = x - 4
d. y = x + 4

D

Step-by-step explanation:

We are given that three vertices of a trapezoid are A(3,-3), B(12,6) and C(4,8).

We have to find the equation of line CD.

Slope formula :

Slope of AB=

AB is a base of trapezoid.

In trapezoid , one pair of sides are parallel.

In given trapezoid , CD is parallel to AB.

When two lines are parallel then, slopes of lines are equal.

Therefore , slope of CD=1

The equation of line with slope 1 and passing through the point C (4,8) is given by

Substitute the values then we get

The equation of line with slope 1 and passing through the point C (4,8) is given by

The equation of line with slope 1 and passing through the point C (4,8) is given by

D

(-1,-0.5)

step-by-step explanation:

21/58.

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