Question

Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.

Answer 1

Answer:

The slope of f(x) is equal to the slope of g(x).

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope of the function f(x)

we have the points

(0,-1) and (3,1)

substitute in the formula

$m=\frac{1+1}{3-0}$

$m_1=\frac{2}{3}$

step 2

Find the slope of the function g(x)

take two points of the given table

(0,2) and (3,4)

substitute in the formula

$m=\frac{4-2}{3-0}$

$m_2=\frac{2}{3}$

step 3

Compare the slopes

$m_1=m_2$

therefore

The slope of f(x) is equal to the slope of g(x).

Answer 2

Answer:

The slope of f(x) is equal to the slope of g(x).

Step-by-step explanation:

Took the test