5x-7y=35

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.

-7y=35-5x

Divide each term by -7 and simplify.

Divide each term in -7y=35-5x by -7.

-7y-7=35-7+-5x-7

Cancel the common factor of -7.

Cancel the common factor.

-7y-7=35-7+-5x-7

Divide y by 1.

y=35-7+-5x-7

y=35-7+-5x-7

Simplify 35-7+-5x-7.

Simplify each term.

Divide 35 by -7.

y=-5+-5x-7

Dividing two negative values results in a positive value.

y=-5+5×7

y=-5+5×7

Reorder -5 and 5×7.

y=5×7-5

y=5×7-5

y=5×7-5

Rewrite in slope-intercept form.

y=57x-5

y=57x-5

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

m=57

b=-5

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

Slope: 57

y-intercept: -5

Slope: 57

y-intercept: -5

Find the Slope and Y-Intercept 5x-7y=35