Given the equation before dilation as y = 2x+3
Before we dilate, we need to get the x and y intercept of the line as shown;
when x = 0;
y = 2(0)+3
y = 3
The coordinate point is (0, 3)
When y = 0
0 = 2x-3
-2x = -3
x = 3/2
The coordinate point is (3/2 , 0)
If this coordinates is dialated by a factor of 6, the coordinates becomes;
(6*0, 6*3) and (6*3/2, 0*6)
= (0, 18) and (9, 0)
Looking for the equation of the resulting coordinate;
slope m = 0-18/9-0
slope m = -18/9 = -2
Get the inercept. Substitutte (0, 18) and m = -2 into the equation y = mx+c
18 = -2(0)+ c
c = 18
Get the required equation;
y = mx+c
y = -2x + 18
They are both wrong, the slope of Serena is 2 instead of -2 even though her intercept value is correct while Ava is also wrong because the slope and intercept of the dilated coordinate are wrong