f(x)=54x-52

Rewrite the function as an equation.

y=5×4-52

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=-52

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

Slope: 54

y-intercept: -52

Slope: 54

y-intercept: -52

Choose 2 to substitute in for x to find the ordered pair.

Replace the variable x with 2 in the expression.

f(2)=5(2)4-52

Simplify the result.

Multiply 5 by 2.

f(2)=104-52

Cancel the common factor of 10 and 4.

Factor 2 out of 10.

f(2)=2(5)4-52

Cancel the common factors.

Factor 2 out of 4.

f(2)=2⋅52⋅2-52

Cancel the common factor.

f(2)=2⋅52⋅2-52

Rewrite the expression.

f(2)=52-52

f(2)=52-52

f(2)=52-52

Combine the numerators over the common denominator.

f(2)=5-52

Subtract 5 from 5.

f(2)=02

Divide 0 by 2.

f(2)=0

The final answer is 0.

0

0

The y value at x=2 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)4-52

Simplify the result.

Multiply 5 by 1.

f(1)=54-52

To write -52 as a fraction with a common denominator, multiply by 22.

f(1)=54-52⋅22

Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.

Multiply 52 and 22.

f(1)=54-5⋅22⋅2

Multiply 2 by 2.

f(1)=54-5⋅24

f(1)=54-5⋅24

Combine the numerators over the common denominator.

f(1)=5-5⋅24

Simplify the numerator.

Multiply -5 by 2.

f(1)=5-104

Subtract 10 from 5.

f(1)=-54

f(1)=-54

Move the negative in front of the fraction.

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.

xy1-5420

xy1-5420

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

Slope: 54

y-intercept: -52

xy1-5420

Graph f(x)=5/4x-5/2