4x-5y=-4

Subtract 4x from both sides of the equation.

-5y=-4-4x

Divide each term by -5 and simplify.

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

-5y-5=-4-5+-4x-5

Cancel the common factor of -5.

Cancel the common factor.

-5y-5=-4-5+-4x-5

Divide y by 1.

y=-4-5+-4x-5

y=-4-5+-4x-5

Simplify each term.

Dividing two negative values results in a positive value.

y=45+-4x-5

Dividing two negative values results in a positive value.

y=45+4×5

y=45+4×5

y=45+4×5

y=45+4×5

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Reorder 45 and 4×5.

y=4×5+45

Rewrite in slope-intercept form.

y=45x+45

y=45x+45

Find the values of m and b using the form y=mx+b.

m=45

b=45

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

Slope: 45

y-intercept: 45

Slope: 45

y-intercept: 45

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+45

Simplify the result.

Reorder terms.

f(0)=0⋅45+45

Combine the numerators over the common denominator.

f(0)=0⋅4+45

Simplify the numerator.

Multiply 0 by 4.

f(0)=0+45

Add 0 and 4.

f(0)=45

f(0)=45

The final answer is 45.

45

45

The y value at x=0 is 45.

y=45

y=45

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+45

Simplify the result.

Reorder terms.

f(1)=1⋅45+45

Combine the numerators over the common denominator.

f(1)=1⋅4+45

Simplify the numerator.

Multiply 1 by 4.

f(1)=4+45

Add 4 and 4.

f(1)=85

f(1)=85

The final answer is 85.

85

85

The y value at x=1 is 85.

y=85

y=85

Create a table of the x and y values.

xy045185

xy045185

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

Slope: 45

y-intercept: 45

xy045185

Graph 4x-5y=-4