4x-5y=-20

Subtract 4x from both sides of the equation.

-5y=-20-4x

Divide each term by -5 and simplify.

Divide each term in -5y=-20-4x by -5.

-5y-5=-20-5+-4x-5

Cancel the common factor of -5.

Cancel the common factor.

-5y-5=-20-5+-4x-5

Divide y by 1.

y=-20-5+-4x-5

y=-20-5+-4x-5

Simplify each term.

Divide -20 by -5.

y=4+-4x-5

Dividing two negative values results in a positive value.

y=4+4×5

y=4+4×5

y=4+4×5

y=4+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 4 and 4×5.

y=4×5+4

Rewrite in slope-intercept form.

y=45x+4

y=45x+4

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

m=45

b=4

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

Slope: 45

y-intercept: 4

Slope: 45

y-intercept: 4

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+4

Simplify the result.

Multiply 4 by 0.

f(0)=05+4

Divide 0 by 5.

f(0)=0+4

Add 0 and 4.

f(0)=4

The final answer is 4.

4

4

The y value at x=0 is 4.

y=4

y=4

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+4

Simplify the result.

Multiply 4 by 1.

f(1)=45+4

To write 4 as a fraction with a common denominator, multiply by 55.

f(1)=45+4⋅55

Combine 4 and 55.

f(1)=45+4⋅55

Combine the numerators over the common denominator.

f(1)=4+4⋅55

Simplify the numerator.

Multiply 4 by 5.

f(1)=4+205

Add 4 and 20.

f(1)=245

f(1)=245

The final answer is 245.

245

245

The y value at x=1 is 245.

y=245

y=245

Create a table of the x and y values.

xy041245

xy041245

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

Slope: 45

y-intercept: 4

xy041245

Graph 4x-5y=-20