Answer:
A,C,D
Step-by-step explanation:
Complete Question:
"Which pairs of points would result in a line with a rate of change of 2:1? select all that apply"
A.(−4,−11) and (−2−7)
B.(5,6) and (−5, 12)
C.(0,−3)and (−4,−11)
D. (0,−3) and (5, 7)
Rate of change is the slope. 2:1 would mean a slope of simply, 2.
We need to find slope of each of the choices from A - D and see which one has 2. The formula would be:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where m is the slope and
x_1 is first x point
x_2 is second x point
y_1 is first y point
y_2 is second y point
Let's calculate slope of each of the choices.
A.
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-7+11}{-2+4}\\m=2[/tex]
THis one is okay.
B.
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{12-6}{-5-5}\\m=-\frac{3}{5}[/tex]
THis one is not 2:1.
C.
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-11+3}{-4-0}\\m=2[/tex]
THis one is okay.
D.
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{7+3}{5-0}\\m=2[/tex]
This one is okay.
Hence, A, C, and D all have rate of change of 2:1
