Find the Slope 3x-4y=-22

Math
3x-4y=-22
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
Subtract 3x from both sides of the equation.
-4y=-22-3x
Divide each term by -4 and simplify.
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Divide each term in -4y=-22-3x by -4.
-4y-4=-22-4+-3x-4
Cancel the common factor of -4.
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Cancel the common factor.
-4y-4=-22-4+-3x-4
Divide y by 1.
y=-22-4+-3x-4
y=-22-4+-3x-4
Simplify -22-4+-3x-4.
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Simplify each term.
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Cancel the common factor of -22 and -4.
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Factor -2 out of -22.
y=-2(11)-4+-3x-4
Cancel the common factors.
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Factor -2 out of -4.
y=-2⋅11-2⋅2+-3x-4
Cancel the common factor.
y=-2⋅11-2⋅2+-3x-4
Rewrite the expression.
y=112+-3x-4
y=112+-3x-4
y=112+-3x-4
Dividing two negative values results in a positive value.
y=112+3×4
y=112+3×4
Reorder 112 and 3×4.
y=3×4+112
y=3×4+112
y=3×4+112
Rewrite in slope-intercept form.
y=34x+112
y=34x+112
Using the slope-intercept form, the slope is 34.
m=34
Find the Slope 3x-4y=-22

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