y=3x+12

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=3

b=12

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

Slope: 3

y-intercept: 12

Slope: 3

y-intercept: 12

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)+12

Simplify the result.

Multiply 3 by 0.

f(0)=0+12

Add 0 and 12.

f(0)=12

The final answer is 12.

12

12

The y value at x=0 is 12.

y=12

y=12

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=3(1)+12

Simplify the result.

Multiply 3 by 1.

f(1)=3+12

To write 3 as a fraction with a common denominator, multiply by 22.

f(1)=3⋅22+12

Combine 3 and 22.

f(1)=3⋅22+12

Combine the numerators over the common denominator.

f(1)=3⋅2+12

Simplify the numerator.

Multiply 3 by 2.

f(1)=6+12

Add 6 and 1.

f(1)=72

f(1)=72

The final answer is 72.

72

72

The y value at x=1 is 72.

y=72

y=72

Create a table of the x and y values.

xy012172

xy012172

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

Slope: 3

y-intercept: 12

xy012172

Graph y=3x+1/2