Graph 13x-11y=-12

Math
13x-11y=-12
Solve for y.
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Subtract 13x from both sides of the equation.
-11y=-12-13x
Divide each term by -11 and simplify.
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Divide each term in -11y=-12-13x by -11.
-11y-11=-12-11+-13x-11
Cancel the common factor of -11.
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Cancel the common factor.
-11y-11=-12-11+-13x-11
Divide y by 1.
y=-12-11+-13x-11
y=-12-11+-13x-11
Simplify each term.
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Dividing two negative values results in a positive value.
y=1211+-13x-11
Dividing two negative values results in a positive value.
y=1211+13×11
y=1211+13×11
y=1211+13×11
y=1211+13×11
Rewrite in slope-intercept form.
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The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Reorder 1211 and 13×11.
y=13×11+1211
Rewrite in slope-intercept form.
y=1311x+1211
y=1311x+1211
Use the slope-intercept form to find the slope and y-intercept.
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Find the values of m and b using the form y=mx+b.
m=1311
b=1211
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1311
y-intercept: 1211
Slope: 1311
y-intercept: 1211
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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Choose 0 to substitute in for x to find the ordered pair.
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Replace the variable x with 0 in the expression.
f(0)=13(0)11+1211
Simplify the result.
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Multiply 13 by 0.
f(0)=011+1211
Combine the numerators over the common denominator.
f(0)=0+1211
Add 0 and 12.
f(0)=1211
The final answer is 1211.
1211
1211
The y value at x=0 is 1211.
y=1211
y=1211
Choose 1 to substitute in for x to find the ordered pair.
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Replace the variable x with 1 in the expression.
f(1)=13(1)11+1211
Simplify the result.
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Multiply 13 by 1.
f(1)=1311+1211
Combine the numerators over the common denominator.
f(1)=13+1211
Add 13 and 12.
f(1)=2511
The final answer is 2511.
2511
2511
The y value at x=1 is 2511.
y=2511
y=2511
Create a table of the x and y values.
xy0121112511
xy0121112511
Graph the line using the slope and the y-intercept, or the points.
Slope: 1311
y-intercept: 1211
xy0121112511
Graph 13x-11y=-12

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