Graph 6x+y=-3

Math
6x+y=-3
Subtract 6x from both sides of the equation.
y=-3-6x
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 -3 and -6x.
y=-6x-3
y=-6x-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=-6
b=-3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -6
y-intercept: -3
Slope: -6
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 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)=-6⋅0-3
Simplify the result.
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Multiply -6 by 0.
f(0)=0-3
Subtract 3 from 0.
f(0)=-3
The final answer is -3.
-3
-3
The y value at x=0 is -3.
y=-3
y=-3
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)=-6⋅1-3
Simplify the result.
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Multiply -6 by 1.
f(1)=-6-3
Subtract 3 from -6.
f(1)=-9
The final answer is -9.
-9
-9
The y value at x=1 is -9.
y=-9
y=-9
Create a table of the x and y values.
xy0-31-9
xy0-31-9
Graph the line using the slope and the y-intercept, or the points.
Slope: -6
y-intercept: -3
xy0-31-9
Graph 6x+y=-3

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