5x-4y=40

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.

-4y=40-5x

Divide each term by -4 and simplify.

Divide each term in -4y=40-5x by -4.

-4y-4=40-4+-5x-4

Cancel the common factor of -4.

Cancel the common factor.

-4y-4=40-4+-5x-4

Divide y by 1.

y=40-4+-5x-4

y=40-4+-5x-4

Simplify 40-4+-5x-4.

Simplify each term.

Divide 40 by -4.

y=-10+-5x-4

Dividing two negative values results in a positive value.

y=-10+5×4

y=-10+5×4

Reorder -10 and 5×4.

y=5×4-10

y=5×4-10

y=5×4-10

Rewrite in slope-intercept form.

y=54x-10

y=54x-10

Using the slope-intercept form, the slope is 54.

m=54

Find the Slope 5x-4y=40