# Find the Slope 5x-8y=14

5x-8y=14
Rewrite in slope-intercept form.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Subtract 5x from both sides of the equation.
-8y=14-5x
Divide each term by -8 and simplify.
Divide each term in -8y=14-5x by -8.
-8y-8=14-8+-5x-8
Cancel the common factor of -8.
Cancel the common factor.
-8y-8=14-8+-5x-8
Divide y by 1.
y=14-8+-5x-8
y=14-8+-5x-8
Simplify 14-8+-5x-8.
Simplify each term.
Cancel the common factor of 14 and -8.
Factor 2 out of 14.
y=2(7)-8+-5x-8
Cancel the common factors.
Factor 2 out of -8.
y=2⋅72⋅-4+-5x-8
Cancel the common factor.
y=2⋅72⋅-4+-5x-8
Rewrite the expression.
y=7-4+-5x-8
y=7-4+-5x-8
y=7-4+-5x-8
Move the negative in front of the fraction.
y=-74+-5x-8
Dividing two negative values results in a positive value.
y=-74+5×8
y=-74+5×8
Reorder -74 and 5×8.
y=5×8-74
y=5×8-74
y=5×8-74
Rewrite in slope-intercept form.
y=58x-74
y=58x-74
Using the slope-intercept form, the slope is 58.
m=58
Find the Slope 5x-8y=14

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