5x-8y=-4

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=-4-5x

Divide each term by -8 and simplify.

Divide each term in -8y=-4-5x by -8.

-8y-8=-4-8+-5x-8

Cancel the common factor of -8.

Cancel the common factor.

-8y-8=-4-8+-5x-8

Divide y by 1.

y=-4-8+-5x-8

y=-4-8+-5x-8

Simplify -4-8+-5x-8.

Simplify each term.

Cancel the common factor of -4 and -8.

Factor -4 out of -4.

y=-4(1)-8+-5x-8

Cancel the common factors.

Factor -4 out of -8.

y=-4⋅1-4⋅2+-5x-8

Cancel the common factor.

y=-4⋅1-4⋅2+-5x-8

Rewrite the expression.

y=12+-5x-8

y=12+-5x-8

y=12+-5x-8

Dividing two negative values results in a positive value.

y=12+5×8

y=12+5×8

Reorder 12 and 5×8.

y=5×8+12

y=5×8+12

y=5×8+12

Rewrite in slope-intercept form.

y=58x+12

y=58x+12

Using the slope-intercept form, the slope is 58.

m=58

Find the Slope 5x-8y=-4