Question

Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle ABC that is perpendicular to segment EF. You must show all work to receive credit.

Answer 1

By the definition of a straight line, we conclude that the equation of the line perpendicular to line segment EF is y = x + 1.

How to derive the equation of a line perpendicular to another line

In this problem we must use the equation of the line and the relationship between two perpendicular lines to determine the needed expression. First, we determine the slope of the line segment EF by the equation of a secant line:

m = [- 4 - (- 1)] / (5 - 2)

m = - 3 / 3

m = - 1

Second, the slope of the line perpendicular to line segment EF is:

m' = - 1 / m

m' = - 1 / - 1

m' = 1

Provided that the intercept of the resulting line is b = 1, we find that the equation of the line perpendicular to line segment EF is:

y = x + 1     (1)

To learn more on equations of the line: https://brainly.com/question/21511618

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