y=5×9-1609

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=59

b=-1609

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

Slope: 59

y-intercept: -1609

Slope: 59

y-intercept: -1609

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)9-1609

Simplify the result.

Multiply 5 by 3.

f(3)=159-1609

Combine the numerators over the common denominator.

f(3)=15-1609

Subtract 160 from 15.

f(3)=-1459

Move the negative in front of the fraction.

f(3)=-1459

The final answer is -1459.

-1459

-1459

The y value at x=3 is -1459.

y=-1459

y=-1459

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

Replace the variable x with 2 in the expression.

f(2)=5(2)9-1609

Simplify the result.

Multiply 5 by 2.

f(2)=109-1609

Combine the numerators over the common denominator.

f(2)=10-1609

Subtract 160 from 10.

f(2)=-1509

Cancel the common factor of -150 and 9.

Factor 3 out of -150.

f(2)=3(-50)9

Cancel the common factors.

Factor 3 out of 9.

f(2)=3⋅-503⋅3

Cancel the common factor.

f(2)=3⋅-503⋅3

Rewrite the expression.

f(2)=-503

f(2)=-503

f(2)=-503

Move the negative in front of the fraction.

f(2)=-503

The final answer is -503.

-503

-503

The y value at x=2 is -503.

y=-503

y=-503

Create a table of the x and y values.

xy2-5033-1459

xy2-5033-1459

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

Slope: 59

y-intercept: -1609

xy2-5033-1459

Graph y=(5x)/9-160/9