Question

6. If the line y-7 =3(x+5) is dilated with a center at the origin and a scale factor of 4, whicho
following equations would describe its image?
(1) y- 7 = 12(x+5)
(2) y - 28 = 3(x+20)
(3) y-28 = 12(x +20)
(4) y - 28 = 3(x+5)

Answer 1

Condition for dilating a line is that slope should not change since dilated lines are parallel.

Meaning option 1 and 2 can be eliminated.

We are given the scale factor 4, So we have to multiply the constants in the equation with 4.

Answer: (2) y-28 = 3(x+20)