y=-1.5x+5

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=5

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

Slope: -1.5

y-intercept: 5

Slope: -1.5

y-intercept: 5

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+5

Simplify the result.

Multiply -1.5 by 0.

f(0)=0+5

Add 0 and 5.

f(0)=5

The final answer is 5.

5

5

The y value at x=0 is 5.

y=5

y=5

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

Replace the variable x with 2 in the expression.

f(2)=-1.5⋅2+5

Simplify the result.

Multiply -1.5 by 2.

f(2)=-3+5

Add -3 and 5.

f(2)=2

The final answer is 2.

2

2

The y value at x=2 is 2.

y=2

y=2

Create a table of the x and y values.

xy0522

xy0522

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

Slope: -1.5

y-intercept: 5

xy0522

Graph y=-1.5x+5