Question

In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line {with center A and a scale factor of 3 will
produce a new line through point C'the image of point C,
with coordinates
and with a slope of

Answer 1

Answer:

C' (-4 , 2)

slope of new line = line "L" = -2

Step-by-step explanation:

C (x₀,y₀): (0,2)    dilation center (h,k): (2,2)     scale factor (sf): 3

C' (x,y)

x = 2 + 3*(0-2) = -4            x = h + sf*(x₀ - h)

y = 2 + 3*(2-2) = 2             y = k + sf*(y₀ - k)

C' (-4 , 2)

slope of new line = line "L" = -2