5x-6y=30

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.

-6y=30-5x

Divide each term by -6 and simplify.

Divide each term in -6y=30-5x by -6.

-6y-6=30-6+-5x-6

Cancel the common factor of -6.

Cancel the common factor.

-6y-6=30-6+-5x-6

Divide y by 1.

y=30-6+-5x-6

y=30-6+-5x-6

Simplify 30-6+-5x-6.

Simplify each term.

Divide 30 by -6.

y=-5+-5x-6

Dividing two negative values results in a positive value.

y=-5+5×6

y=-5+5×6

Reorder -5 and 5×6.

y=5×6-5

y=5×6-5

y=5×6-5

Rewrite in slope-intercept form.

y=56x-5

y=56x-5

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

m=56

b=-5

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

Slope: 56

y-intercept: -5

Slope: 56

y-intercept: -5

Find the Slope and Y-Intercept 5x-6y=30