3x+5y=9

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

y=mx+b

Subtract 3x from both sides of the equation.

5y=9-3x

Divide each term by 5 and simplify.

Divide each term in 5y=9-3x by 5.

5y5=95+-3×5

Cancel the common factor of 5.

Cancel the common factor.

5y5=95+-3×5

Divide y by 1.

y=95+-3×5

y=95+-3×5

Simplify 95+-3×5.

Move the negative in front of the fraction.

y=95-3×5

Reorder 95 and -3×5.

y=-3×5+95

y=-3×5+95

y=-3×5+95

Rewrite in slope-intercept form.

y=-35x+95

y=-35x+95

Using the slope-intercept form, the slope is -35.

m=-35

Find the Slope 3x+5y=9