f(x)=54x

Rewrite the function as an equation.

y=5×4

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Find the values of m and b using the form y=mx+b.

m=54

b=0

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 54

y-intercept: 0

Slope: 54

y-intercept: 0

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=5(0)4

Simplify the result.

Cancel the common factor of 0 and 4.

Factor 4 out of 5(0).

f(0)=4(5⋅(0))4

Cancel the common factors.

Factor 4 out of 4.

f(0)=4(5⋅(0))4(1)

Cancel the common factor.

f(0)=4(5⋅(0))4⋅1

Rewrite the expression.

f(0)=5⋅(0)1

Divide 5⋅(0) by 1.

f(0)=5⋅(0)

f(0)=5⋅(0)

f(0)=5⋅(0)

Multiply 5 by 0.

f(0)=0

The final answer is 0.

0

0

The y value at x=0 is 0.

y=0

y=0

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=5(1)4

Simplify the result.

Multiply 5 by 1.

f(1)=54

The final answer is 54.

54

54

The y value at x=1 is 54.

y=54

y=54

Create a table of the x and y values.

xy00154

xy00154

Graph the line using the slope and the y-intercept, or the points.

Slope: 54

y-intercept: 0

xy00154

Graph f(x)=5/4x