Graph -12x-3y=-9

Math
-12x-3y=-9
Solve for y.
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Add 12x to both sides of the equation.
-3y=-9+12x
Divide each term by -3 and simplify.
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Divide each term in -3y=-9+12x by -3.
-3y-3=-9-3+12x-3
Cancel the common factor of -3.
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Cancel the common factor.
-3y-3=-9-3+12x-3
Divide y by 1.
y=-9-3+12x-3
y=-9-3+12x-3
Simplify each term.
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Divide -9 by -3.
y=3+12x-3
Cancel the common factor of 12 and -3.
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Factor 3 out of 12x.
y=3+3(4x)-3
Move the negative one from the denominator of 4x-1.
y=3-1⋅(4x)
y=3-1⋅(4x)
Rewrite -1⋅(4x) as -(4x).
y=3-(4x)
Multiply 4 by -1.
y=3-4x
y=3-4x
y=3-4x
y=3-4x
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 3 and -4x.
y=-4x+3
y=-4x+3
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=-4
b=3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -4
y-intercept: 3
Slope: -4
y-intercept: 3
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 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)=-4⋅1+3
Simplify the result.
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Multiply -4 by 1.
f(1)=-4+3
Add -4 and 3.
f(1)=-1
The final answer is -1.
-1
-1
The y value at x=1 is -1.
y=-1
y=-1
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)=-4⋅0+3
Simplify the result.
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Multiply -4 by 0.
f(0)=0+3
Add 0 and 3.
f(0)=3
The final answer is 3.
3
3
The y value at x=0 is 3.
y=3
y=3
Create a table of the x and y values.
xy031-1
xy031-1
Graph the line using the slope and the y-intercept, or the points.
Slope: -4
y-intercept: 3
xy031-1
Graph -12x-3y=-9

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