5x-8y=14

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