y=-45x+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=-45

b=5

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

Slope: -45

y-intercept: 5

Slope: -45

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)=-4(0)5+5

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 5.

Factor 5 out of 4(0).

f(0)=-5(4⋅(0))5+5

Cancel the common factors.

Factor 5 out of 5.

f(0)=-5(4⋅(0))5(1)+5

Cancel the common factor.

f(0)=-5(4⋅(0))5⋅1+5

Rewrite the expression.

f(0)=-4⋅(0)1+5

Divide 4⋅(0) by 1.

f(0)=-(4⋅(0))+5

f(0)=-(4⋅(0))+5

f(0)=-(4⋅(0))+5

Multiply 4 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

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

Replace the variable x with 2 in the expression.

f(2)=-4(2)5+5

Simplify the result.

Multiply 4 by 2.

f(2)=-85+5

To write 5 as a fraction with a common denominator, multiply by 55.

f(2)=-85+5⋅55

Combine 5 and 55.

f(2)=-85+5⋅55

Combine the numerators over the common denominator.

f(2)=-8+5⋅55

Simplify the numerator.

Multiply 5 by 5.

f(2)=-8+255

Add -8 and 25.

f(2)=175

f(2)=175

The final answer is 175.

175

175

The y value at x=2 is 175.

y=175

y=175

Create a table of the x and y values.

xy052175

xy052175

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

Slope: -45

y-intercept: 5

xy052175

Graph y=-4/5x+5