Graph 3x+y=15

Math
3x+y=15
Subtract 3x from both sides of the equation.
y=15-3x
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 15 and -3x.
y=-3x+15
y=-3x+15
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=-3
b=15
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -3
y-intercept: 15
Slope: -3
y-intercept: 15
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)=-3⋅3+15
Simplify the result.
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Multiply -3 by 3.
f(3)=-9+15
Add -9 and 15.
f(3)=6
The final answer is 6.
6
6
The y value at x=3 is 6.
y=6
y=6
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)=-3⋅2+15
Simplify the result.
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Multiply -3 by 2.
f(2)=-6+15
Add -6 and 15.
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.
xy2936
xy2936
Graph the line using the slope and the y-intercept, or the points.
Slope: -3
y-intercept: 15
xy2936
Graph 3x+y=15

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