y=-43x-8

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=-43

b=-8

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

Slope: -43

y-intercept: -8

Slope: -43

y-intercept: -8

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

Replace the variable x with 0 in the expression.

f(0)=-4(0)3-8

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 3.

Factor 3 out of 4(0).

f(0)=-3(4⋅(0))3-8

Cancel the common factors.

Factor 3 out of 3.

f(0)=-3(4⋅(0))3(1)-8

Cancel the common factor.

f(0)=-3(4⋅(0))3⋅1-8

Rewrite the expression.

f(0)=-4⋅(0)1-8

Divide 4⋅(0) by 1.

f(0)=-(4⋅(0))-8

f(0)=-(4⋅(0))-8

f(0)=-(4⋅(0))-8

Multiply 4 by 0.

f(0)=-0-8

Multiply -1 by 0.

f(0)=0-8

f(0)=0-8

Subtract 8 from 0.

f(0)=-8

The final answer is -8.

-8

-8

The y value at x=0 is -8.

y=-8

y=-8

Choose 3 to substitute in for x to find the ordered pair.

Replace the variable x with 3 in the expression.

f(3)=-4(3)3-8

Simplify the result.

Simplify each term.

Cancel the common factor of 3.

Cancel the common factor.

f(3)=-4⋅33-8

Divide 4 by 1.

f(3)=-1⋅4-8

f(3)=-1⋅4-8

Multiply -1 by 4.

f(3)=-4-8

f(3)=-4-8

Subtract 8 from -4.

f(3)=-12

The final answer is -12.

-12

-12

The y value at x=3 is -12.

y=-12

y=-12

Create a table of the x and y values.

xy0-83-12

xy0-83-12

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

Slope: -43

y-intercept: -8

xy0-83-12

Graph y=-4/3x-8