Algebra Examples

Graph x-y=-8
x-y=-8
Step 1
Solve for y.
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Step 1.1
Subtract x from both sides of the equation.
-y=-8-x
Step 1.2
Divide each term in -y=-8-x by -1 and simplify.
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Step 1.2.1
Divide each term in -y=-8-x by -1.
-y-1=-8-1+-x-1
Step 1.2.2
Simplify the left side.
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Step 1.2.2.1
Dividing two negative values results in a positive value.
y1=-8-1+-x-1
Step 1.2.2.2
Divide y by 1.
y=-8-1+-x-1
y=-8-1+-x-1
Step 1.2.3
Simplify the right side.
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Step 1.2.3.1
Simplify each term.
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Step 1.2.3.1.1
Divide -8 by -1.
y=8+-x-1
Step 1.2.3.1.2
Dividing two negative values results in a positive value.
y=8+x1
Step 1.2.3.1.3
Divide x by 1.
y=8+x
y=8+x
y=8+x
y=8+x
y=8+x
Step 2
Rewrite in slope-intercept form.
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Step 2.1
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Step 2.2
Reorder 8 and x.
y=x+8
y=x+8
Step 3
Use the slope-intercept form to find the slope and y-intercept.
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Step 3.1
Find the values of m and b using the form y=mx+b.
m=1
b=8
Step 3.2
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1
y-intercept: (0,8)
Slope: 1
y-intercept: (0,8)
Step 4
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
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Step 4.1
Reorder 8 and x.
y=x+8
Step 4.2
Create a table of the x and y values.
xy0819
xy0819
Step 5
Graph the line using the slope and the y-intercept, or the points.
Slope: 1
y-intercept: (0,8)
xy0819
Step 6
image of graph
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