5x-2y=8

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.

-2y=8-5x

Divide each term by -2 and simplify.

Divide each term in -2y=8-5x by -2.

-2y-2=8-2+-5x-2

Cancel the common factor of -2.

Cancel the common factor.

-2y-2=8-2+-5x-2

Divide y by 1.

y=8-2+-5x-2

y=8-2+-5x-2

Simplify 8-2+-5x-2.

Simplify each term.

Divide 8 by -2.

y=-4+-5x-2

Dividing two negative values results in a positive value.

y=-4+5×2

y=-4+5×2

Reorder -4 and 5×2.

y=5×2-4

y=5×2-4

y=5×2-4

Rewrite in slope-intercept form.

y=52x-4

y=52x-4

Find the values of m and b using the form y=mx+b.

m=52

b=-4

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 52

y-intercept: -4

Slope: 52

y-intercept: -4

Find the Slope and Y-Intercept 5x-2y=8