4x-7y=21

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Subtract 4x from both sides of the equation.

-7y=21-4x

Divide each term by -7 and simplify.

Divide each term in -7y=21-4x by -7.

-7y-7=21-7+-4x-7

Cancel the common factor of -7.

Cancel the common factor.

-7y-7=21-7+-4x-7

Divide y by 1.

y=21-7+-4x-7

y=21-7+-4x-7

Simplify 21-7+-4x-7.

Simplify each term.

Divide 21 by -7.

y=-3+-4x-7

Dividing two negative values results in a positive value.

y=-3+4×7

y=-3+4×7

Reorder -3 and 4×7.

y=4×7-3

y=4×7-3

y=4×7-3

Rewrite in slope-intercept form.

y=47x-3

y=47x-3

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

m=47

b=-3

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

Slope: 47

y-intercept: -3

Slope: 47

y-intercept: -3

Find the Slope and Y-Intercept 4x-7y=21