Triangle ABC is similar to triangle DEF. Write the equation, in slope-intercept form, of the side of triangle DEF that is parallel to segment BC. You must show all work to receive credit.

y= -x +8

Step-by-step explanation:

The side of triangle DEF that is parallel to segment BC is side EF. This is because both has the same slope of -1.

E(4,4), F(6,2)

Slope of EF

= -1

Slope intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Since the slope of EF is -1, substitute m= -1 into the equation.

y= -x +c

To find the value of c, substitute a pair of coordinates. We can either substitute the coordinates of E or F. I will be substituting E(4,4) here.

When x= 4, y= 4,

4= -4 +c

c= 4 +4

c= 8

Thus, the equation is y= -x +8.

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step-by-step explanation:

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