Question

Write an equation for the line that passes through (-4,-4) and (8,5)

Answer 1

The equation for this line is (P(x,y)----> P'(2h-x,2k-y), hence h=3 and k=1/2

Explanation:

P(x,y)----> P'(2h-x,2k-y)

P(-4,-4)---->P'(8,5)

Now comparing the corresponding sides;

2h+4=8

2h=8-4

2h=4

h=2

Again,

2k-y=5

2k+4=5

2k=5-4

2k=1

k=1/2

Now, checking the answer:

P(-4,-4)----->P'{2*2-(-4),2*1/2-(-4)}

=P'(4+4,1+4)

=P'(8,5)