y=-1.5x+4

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=4

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

Slope: -1.5

y-intercept: 4

Slope: -1.5

y-intercept: 4

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+4

Simplify the result.

Multiply -1.5 by 0.

f(0)=0+4

Add 0 and 4.

f(0)=4

The final answer is 4.

4

4

The y value at x=0 is 4.

y=4

y=4

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+4

Simplify the result.

Multiply -1.5 by 2.

f(2)=-3+4

Add -3 and 4.

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.

xy0421

xy0421

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

Slope: -1.5

y-intercept: 4

xy0421

Graph y=-1.5x+4