x-4y=20

Subtract x from both sides of the equation.

-4y=20-x

Divide each term by -4 and simplify.

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

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

Cancel the common factor of -4.

Cancel the common factor.

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

Divide y by 1.

y=20-4+-x-4

y=20-4+-x-4

Simplify each term.

Divide 20 by -4.

y=-5+-x-4

Dividing two negative values results in a positive value.

y=-5+x4

y=-5+x4

y=-5+x4

y=-5+x4

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

y=mx+b

Reorder -5 and x4.

y=x4-5

Rewrite in slope-intercept form.

y=14x-5

y=14x-5

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

m=14

b=-5

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

Slope: 14

y-intercept: -5

Slope: 14

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)=04-5

Simplify the result.

Divide 0 by 4.

f(0)=0-5

Subtract 5 from 0.

f(0)=-5

The final answer is -5.

-5

-5

The y value at x=0 is -5.

y=-5

y=-5

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

Replace the variable x with 1 in the expression.

f(1)=14-5

Simplify the result.

To write -5 as a fraction with a common denominator, multiply by 44.

f(1)=14-5⋅44

Combine -5 and 44.

f(1)=14+-5⋅44

Combine the numerators over the common denominator.

f(1)=1-5⋅44

Simplify the numerator.

Multiply -5 by 4.

f(1)=1-204

Subtract 20 from 1.

f(1)=-194

f(1)=-194

Move the negative in front of the fraction.

f(1)=-194

The final answer is -194.

-194

-194

The y value at x=1 is -194.

y=-194

y=-194

Create a table of the x and y values.

xy0-51-194

xy0-51-194

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

Slope: 14

y-intercept: -5

xy0-51-194

Graph x-4y=20