f(x)=53x-4

Rewrite the function as an equation.

y=5×3-4

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=53

b=-4

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

Slope: 53

y-intercept: -4

Slope: 53

y-intercept: -4

Choose 3 to substitute in for x to find the ordered pair.

Replace the variable x with 3 in the expression.

f(3)=5(3)3-4

Simplify the result.

Multiply 5 by 3.

f(3)=153-4

Divide 15 by 3.

f(3)=5-4

Subtract 4 from 5.

f(3)=1

The final answer is 1.

1

1

The y value at x=3 is 1.

y=1

y=1

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)3-4

Simplify the result.

Multiply 5 by 0.

f(0)=03-4

Divide 0 by 3.

f(0)=0-4

Subtract 4 from 0.

f(0)=-4

The final answer is -4.

-4

-4

The y value at x=0 is -4.

y=-4

y=-4

Create a table of the x and y values.

xy0-431

xy0-431

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

Slope: 53

y-intercept: -4

xy0-431

Graph f(x)=5/3x-4