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. Triangle ABC and DEF are shown. A is at negative 2, 1. B is at negative 2, 4. C is at 1, 1. D is at 4, 2. E is at 4, 4. F is at 6, 2.

Side EF

Step-by-step explanation:

The slope between two point

For triangle ABC with points at A(-2, 1), B(-2, 4), C(1, 1):

Since, Triangle ABC is similar to triangle DEF, two lines are parallel to each other if they have the same slope. Hence for triangle DEF with D(4,2), E(4,4), F(6,2):

Since slope of EF = slope of BC, hence side EF is parallel to side BC

20

step-by-step explanation: