2y+x=9

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=9-x

Divide each term by 2 and simplify.

Divide each term in 2y=9-x by 2.

2y2=92+-x2

Cancel the common factor of 2.

Cancel the common factor.

2y2=92+-x2

Divide y by 1.

y=92+-x2

y=92+-x2

Simplify 92+-x2.

Move the negative in front of the fraction.

y=92-x2

Reorder 92 and -x2.

y=-x2+92

y=-x2+92

y=-x2+92

Rewrite in slope-intercept form.

y=-12x+92

y=-12x+92

Using the slope-intercept form, the slope is -12.

m=-12

Find the Slope 2y+x=9