f(x)=7x-23

Rewrite the function as an equation.

y=7x-23

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

y=mx+b

Simplify 7x-23.

Split the fraction 7x-23 into two fractions.

y=7×3+-23

Move the negative in front of the fraction.

y=7×3-23

y=7×3-23

Rewrite in slope-intercept form.

y=73x-23

y=73x-23

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

m=73

b=-23

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

Slope: 73

y-intercept: -23

Slope: 73

y-intercept: -23

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

Replace the variable x with 2 in the expression.

f(2)=7(2)-23

Simplify the result.

Simplify the numerator.

Multiply 7 by 2.

f(2)=14-23

Subtract 2 from 14.

f(2)=123

f(2)=123

Divide 12 by 3.

f(2)=4

The final answer is 4.

4

4

The y value at x=2 is 4.

y=4

y=4

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

Replace the variable x with 0 in the expression.

f(0)=7(0)-23

Simplify the result.

Simplify the numerator.

Multiply 7 by 0.

f(0)=0-23

Subtract 2 from 0.

f(0)=-23

f(0)=-23

Move the negative in front of the fraction.

f(0)=-23

The final answer is -23.

-23

-23

The y value at x=0 is -23.

y=-23

y=-23

Create a table of the x and y values.

xy0-2324

xy0-2324

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

Slope: 73

y-intercept: -23

xy0-2324

Graph f(x)=(7x-2)/3