y=-54x-17

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=-54

b=-17

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

Slope: -54

y-intercept: -17

Slope: -54

y-intercept: -17

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)4-17

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 4.

Factor 4 out of 5(0).

f(0)=-4(5⋅(0))4-17

Cancel the common factors.

Factor 4 out of 4.

f(0)=-4(5⋅(0))4(1)-17

Cancel the common factor.

f(0)=-4(5⋅(0))4⋅1-17

Rewrite the expression.

f(0)=-5⋅(0)1-17

Divide 5⋅(0) by 1.

f(0)=-(5⋅(0))-17

f(0)=-(5⋅(0))-17

f(0)=-(5⋅(0))-17

Multiply 5 by 0.

f(0)=-0-17

Multiply -1 by 0.

f(0)=0-17

f(0)=0-17

Subtract 17 from 0.

f(0)=-17

The final answer is -17.

-17

-17

The y value at x=0 is -17.

y=-17

y=-17

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=-5(1)4-17

Simplify the result.

Multiply 5 by 1.

f(1)=-54-17

To write -17 as a fraction with a common denominator, multiply by 44.

f(1)=-54-17⋅44

Combine -17 and 44.

f(1)=-54+-17⋅44

Combine the numerators over the common denominator.

f(1)=-5-17⋅44

Simplify the numerator.

Multiply -17 by 4.

f(1)=-5-684

Subtract 68 from -5.

f(1)=-734

f(1)=-734

Move the negative in front of the fraction.

f(1)=-734

The final answer is -734.

-734

-734

The y value at x=1 is -734.

y=-734

y=-734

Create a table of the x and y values.

xy0-171-734

xy0-171-734

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

Slope: -54

y-intercept: -17

xy0-171-734

Graph y=-5/4x-17