y=-1.5x+3

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=-1.5

b=3

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

Slope: -1.5

y-intercept: 3

Slope: -1.5

y-intercept: 3

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

Replace the variable x with 0 in the expression.

f(0)=-1.5⋅0+3

Simplify the result.

Multiply -1.5 by 0.

f(0)=0+3

Add 0 and 3.

f(0)=3

The final answer is 3.

3

3

The y value at x=0 is 3.

y=3

y=3

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

Replace the variable x with 1 in the expression.

f(1)=-1.5⋅1+3

Simplify the result.

Multiply -1.5 by 1.

f(1)=-1.5+3

Add -1.5 and 3.

f(1)=1.5

The final answer is 1.5.

1.5

1.5

The y value at x=1 is 1.5.

y=1.5

y=1.5

Create a table of the x and y values.

xy0311.5

xy0311.5

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

Slope: -1.5

y-intercept: 3

xy0311.5

Graph y=-1.5x+3