Question

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

Answer 1

Remember that

If two lines are parallel, then their slopes are equal

step 1

Find out the slope of the side BC

we have

B(-2,4) and C(1,1)

m=(1-4)/(1+2)

m=-3/3

m=-1

step 2

Find out the equation of the side EF

we have

E(4,4)

m=-1

y=mx+b

substitute and solve for b

4=-1(4)+b

4=-4+b

b=8

therefore

the equation is

y=-x+8