Graph -12x-2y=-42

Math
-12x-2y=-42
Solve for y.
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Add 12x to both sides of the equation.
-2y=-42+12x
Divide each term by -2 and simplify.
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Divide each term in -2y=-42+12x by -2.
-2y-2=-42-2+12x-2
Cancel the common factor of -2.
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Cancel the common factor.
-2y-2=-42-2+12x-2
Divide y by 1.
y=-42-2+12x-2
y=-42-2+12x-2
Simplify each term.
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Divide -42 by -2.
y=21+12x-2
Cancel the common factor of 12 and -2.
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Factor 2 out of 12x.
y=21+2(6x)-2
Move the negative one from the denominator of 6x-1.
y=21-1⋅(6x)
y=21-1⋅(6x)
Rewrite -1⋅(6x) as -(6x).
y=21-(6x)
Multiply 6 by -1.
y=21-6x
y=21-6x
y=21-6x
y=21-6x
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 21 and -6x.
y=-6x+21
y=-6x+21
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=-6
b=21
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -6
y-intercept: 21
Slope: -6
y-intercept: 21
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 3 to substitute in for x to find the ordered pair.
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Replace the variable x with 3 in the expression.
f(3)=-6⋅3+21
Simplify the result.
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Multiply -6 by 3.
f(3)=-18+21
Add -18 and 21.
f(3)=3
The final answer is 3.
3
3
The y value at x=3 is 3.
y=3
y=3
Choose 2 to substitute in for x to find the ordered pair.
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Replace the variable x with 2 in the expression.
f(2)=-6⋅2+21
Simplify the result.
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Multiply -6 by 2.
f(2)=-12+21
Add -12 and 21.
f(2)=9
The final answer is 9.
9
9
The y value at x=2 is 9.
y=9
y=9
Create a table of the x and y values.
xy2933
xy2933
Graph the line using the slope and the y-intercept, or the points.
Slope: -6
y-intercept: 21
xy2933
Graph -12x-2y=-42

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