The bases of a trapezoid lie on the lines y=2X +7 and y= 2X -5. Write the equation that contains the midsegment of the trapezoid

Given:

The bases of a trapezoid lie on the lines

To find:

The equation that contains the midsegment of the trapezoid.

Solution:

The slope intercept form of a line is

Where, m is slope and b is y-intercept.

On comparing with slope intercept form, we get

On comparing with slope intercept form, we get

The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.

The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.

So, the y-intercept of the required line is 1.

Putting m=2 and b=1 in slope intercept form, we get

Therefore, the equation of line that contains the midsegment of the trapezoid is .

answer: what is the conflict?

step-by-step explanation:

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