Graph 9x-4y=-14

Math
9x-4y=-14
Solve for y.
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Subtract 9x from both sides of the equation.
-4y=-14-9x
Divide each term by -4 and simplify.
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Divide each term in -4y=-14-9x by -4.
-4y-4=-14-4+-9x-4
Cancel the common factor of -4.
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Cancel the common factor.
-4y-4=-14-4+-9x-4
Divide y by 1.
y=-14-4+-9x-4
y=-14-4+-9x-4
Simplify each term.
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Cancel the common factor of -14 and -4.
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Factor -2 out of -14.
y=-2(7)-4+-9x-4
Cancel the common factors.
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Factor -2 out of -4.
y=-2⋅7-2⋅2+-9x-4
Cancel the common factor.
y=-2⋅7-2⋅2+-9x-4
Rewrite the expression.
y=72+-9x-4
y=72+-9x-4
y=72+-9x-4
Dividing two negative values results in a positive value.
y=72+9×4
y=72+9×4
y=72+9×4
y=72+9×4
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 72 and 9×4.
y=9×4+72
Rewrite in slope-intercept form.
y=94x+72
y=94x+72
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=94
b=72
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 94
y-intercept: 72
Slope: 94
y-intercept: 72
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 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)=9(2)4+72
Simplify the result.
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Multiply 9 by 2.
f(2)=184+72
Cancel the common factor of 18 and 4.
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Factor 2 out of 18.
f(2)=2(9)4+72
Cancel the common factors.
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Factor 2 out of 4.
f(2)=2⋅92⋅2+72
Cancel the common factor.
f(2)=2⋅92⋅2+72
Rewrite the expression.
f(2)=92+72
f(2)=92+72
f(2)=92+72
Combine the numerators over the common denominator.
f(2)=9+72
Add 9 and 7.
f(2)=162
Divide 16 by 2.
f(2)=8
The final answer is 8.
8
8
The y value at x=2 is 8.
y=8
y=8
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)=9(0)4+72
Simplify the result.
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Multiply 9 by 0.
f(0)=04+72
Divide 0 by 4.
f(0)=0+72
Add 0 and 72.
f(0)=72
The final answer is 72.
72
72
The y value at x=0 is 72.
y=72
y=72
Create a table of the x and y values.
xy07228
xy07228
Graph the line using the slope and the y-intercept, or the points.
Slope: 94
y-intercept: 72
xy07228
Graph 9x-4y=-14

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