Q:

Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.a line labeled f of x passing through 0, negative 1 and 3, 1 x g(x)0 32 64 9 The slope of f(x) is greater than the slope of g(x). The slope of f(x) is less than the slope of g(x). The slope of f(x) is equal to the slope of g(x). The slope of g(x) is undefined.

Accepted Solution

A:
Answer:The slope of f(x) is less than the slope of g(x).Step-by-step explanation:we know thatThe formula to calculate the slope between two points is equal to [tex]m=\frac{y2-y1}{x2-x1}[/tex] step 1Determine the slope of f(x)we have the points(0,-1) and (3,1)substitute the values in the formula[tex]m=\frac{1+1}{3-0}[/tex] [tex]m=\frac{2}{3}[/tex] step 2From the data in a table  take two points(0,3) and (2,6)substitute the values in the formula[tex]m=\frac{6-3}{2-0}[/tex] [tex]m=\frac{3}{2}[/tex] step 3 Compare the slopes[tex]\frac{3}{2} > \frac{2}{3}[/tex]thereforeThe slope of f(x) is less than the slope of g(x).