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

Add 0 and 2.

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

Add 3 and 2.

f(2)=5

The final answer is 5.

5

5

The y value at x=2 is 5.

y=5

y=5

Create a table of the x and y values.

xy0225

xy0225

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

Slope: 32

y-intercept: 2

xy0225

Graph (3x)/2+2