5y-5=-4x

Add 5 to both sides of the equation.

5y=-4x+5

Divide each term by 5 and simplify.

Divide each term in 5y=-4x+5 by 5.

5y5=-4×5+55

Cancel the common factor of 5.

Cancel the common factor.

5y5=-4×5+55

Divide y by 1.

y=-4×5+55

y=-4×5+55

Simplify each term.

Move the negative in front of the fraction.

y=-(4)x5+55

Divide 5 by 5.

y=-4×5+1

y=-4×5+1

y=-4×5+1

y=-4×5+1

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=1

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

Slope: -45

y-intercept: 1

Slope: -45

y-intercept: 1

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+1

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+1

Cancel the common factors.

Factor 5 out of 5.

f(0)=-5(4⋅(0))5(1)+1

Cancel the common factor.

f(0)=-5(4⋅(0))5⋅1+1

Rewrite the expression.

f(0)=-4⋅(0)1+1

Divide 4⋅(0) by 1.

f(0)=-(4⋅(0))+1

f(0)=-(4⋅(0))+1

f(0)=-(4⋅(0))+1

Multiply 4 by 0.

f(0)=-0+1

Multiply -1 by 0.

f(0)=0+1

f(0)=0+1

Add 0 and 1.

f(0)=1

The final answer is 1.

1

1

The y value at x=0 is 1.

y=1

y=1

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

Replace the variable x with 1 in the expression.

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

Simplify the result.

Multiply 4 by 1.

f(1)=-45+1

Simplify the expression.

Write 1 as a fraction with a common denominator.

f(1)=-45+55

Combine the numerators over the common denominator.

f(1)=-4+55

f(1)=-4+55

Add -4 and 5.

f(1)=15

The final answer is 15.

15

15

The y value at x=1 is 15.

y=15

y=15

Create a table of the x and y values.

xy01115

xy01115

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

Slope: -45

y-intercept: 1

xy01115

Graph 5y-5=-4x