Question

What is the function rule for the line?



Responses

a f(x)=32x+2
a f begin argument x end argument equals fraction 3 over 2 end fraction x plus 2.

b f(x)=−23x−2
b f begin argument x end argument equals negative fraction 2 over 3 end fraction x minus 2.

c f(x)=23x−2
c f begin argument x end argument equals fraction 2 over 3 end fraction x minus 2.

d f(x)=32x−2
d f begin argument x end argument equals fraction 3 over 2 end fraction x minus 2.
A coordinate grid with x and y axis ranging from negative five to five. The line passes the points begin ordered pair 0 comma negative 2 end ordered pair and begin ordered pair 3 comma 0 end ordered pair.

Answer 1

c. The slope = (0 - (-2)) / (3 - 0) = 2/3 and y-intercept = -2, so f(x) = (2/3)x - 2.