# Graph x-4y=20 x-4y=20
Solve for y.
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
Rewrite in slope-intercept form.
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
Use the slope-intercept form to find the slope and y-intercept.
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
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
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
-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
-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     