x+2y=14

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

y=mx+b

Subtract x from both sides of the equation.

2y=14-x

Divide each term by 2 and simplify.

Divide each term in 2y=14-x by 2.

2y2=142+-x2

Cancel the common factor of 2.

Cancel the common factor.

2y2=142+-x2

Divide y by 1.

y=142+-x2

y=142+-x2

Simplify 142+-x2.

Simplify each term.

Divide 14 by 2.

y=7+-x2

Move the negative in front of the fraction.

y=7-x2

y=7-x2

Reorder 7 and -x2.

y=-x2+7

y=-x2+7

y=-x2+7

Rewrite in slope-intercept form.

y=-12x+7

y=-12x+7

Rewrite in Slope-Intercept Form x+2y=14