f(x)=32x-2

Rewrite the function as an equation.

y=3×2-2

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=32

b=-2

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

Slope: 32

y-intercept: -2

Slope: 32

y-intercept: -2

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

Replace the variable x with 0 in the expression.

f(0)=3(0)2-2

Simplify the result.

Multiply 3 by 0.

f(0)=02-2

Divide 0 by 2.

f(0)=0-2

Subtract 2 from 0.

f(0)=-2

The final answer is -2.

-2

-2

The y value at x=0 is -2.

y=-2

y=-2

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

Replace the variable x with 2 in the expression.

f(2)=3(2)2-2

Simplify the result.

Multiply 3 by 2.

f(2)=62-2

Divide 6 by 2.

f(2)=3-2

Subtract 2 from 3.

f(2)=1

The final answer is 1.

1

1

The y value at x=2 is 1.

y=1

y=1

Create a table of the x and y values.

xy0-221

xy0-221

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

Slope: 32

y-intercept: -2

xy0-221

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