y=-53x+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=-53

b=5

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

Slope: -53

y-intercept: 5

Slope: -53

y-intercept: 5

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

Replace the variable x with 3 in the expression.

f(3)=-5(3)3+5

Simplify the result.

Simplify each term.

Cancel the common factor of 3.

Cancel the common factor.

f(3)=-5⋅33+5

Divide 5 by 1.

f(3)=-1⋅5+5

f(3)=-1⋅5+5

Multiply -1 by 5.

f(3)=-5+5

f(3)=-5+5

Add -5 and 5.

f(3)=0

The final answer is 0.

0

0

The y value at x=3 is 0.

y=0

y=0

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

Replace the variable x with 0 in the expression.

f(0)=-5(0)3+5

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 3.

Factor 3 out of 5(0).

f(0)=-3(5⋅(0))3+5

Cancel the common factors.

Factor 3 out of 3.

f(0)=-3(5⋅(0))3(1)+5

Cancel the common factor.

f(0)=-3(5⋅(0))3⋅1+5

Rewrite the expression.

f(0)=-5⋅(0)1+5

Divide 5⋅(0) by 1.

f(0)=-(5⋅(0))+5

f(0)=-(5⋅(0))+5

f(0)=-(5⋅(0))+5

Multiply 5 by 0.

f(0)=-0+5

Multiply -1 by 0.

f(0)=0+5

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

Create a table of the x and y values.

xy0530

xy0530

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

Slope: -53

y-intercept: 5

xy0530

Graph y=-5/3x+5