# Graph 4x-4y=-24 4x-4y=-24
Solve for y.
Subtract 4x from both sides of the equation.
-4y=-24-4x
Divide each term by -4 and simplify.
Divide each term in -4y=-24-4x by -4.
-4y-4=-24-4+-4x-4
Cancel the common factor of -4.
Cancel the common factor.
-4y-4=-24-4+-4x-4
Divide y by 1.
y=-24-4+-4x-4
y=-24-4+-4x-4
Simplify each term.
Divide -24 by -4.
y=6+-4x-4
Cancel the common factor of -4.
Cancel the common factor.
y=6+-4x-4
Divide x by 1.
y=6+x
y=6+x
y=6+x
y=6+x
y=6+x
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 6 and x.
y=x+6
y=x+6
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=1
b=6
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1
y-intercept: 6
Slope: 1
y-intercept: 6
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)=(0)+6
Simplify the result.
Add 0 and 6.
f(0)=6
The final answer is 6.
6
6
The y value at x=0 is 6.
y=6
y=6
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=(1)+6
Simplify the result.
Add 1 and 6.
f(1)=7
The final answer is 7.
7
7
The y value at x=1 is 7.
y=7
y=7
Create a table of the x and y values.
xy0617
xy0617
Graph the line using the slope and the y-intercept, or the points.
Slope: 1
y-intercept: 6
xy0617
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