10y+38x=16.5

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

y=mx+b

Subtract 38x from both sides of the equation.

10y=16.5-38x

Divide each term by 10 and simplify.

Divide each term in 10y=16.5-38x by 10.

10y10=16.510+-38×10

Cancel the common factor of 10.

Cancel the common factor.

10y10=16.510+-38×10

Divide y by 1.

y=16.510+-38×10

y=16.510+-38×10

Simplify 16.510+-38×10.

Simplify each term.

Divide 16.5 by 10.

y=1.65+-38×10

Cancel the common factor of -38 and 10.

Factor 2 out of -38x.

y=1.65+2(-19x)10

Cancel the common factors.

Factor 2 out of 10.

y=1.65+2(-19x)2(5)

Cancel the common factor.

y=1.65+2(-19x)2⋅5

Rewrite the expression.

y=1.65+-19×5

y=1.65+-19×5

y=1.65+-19×5

Move the negative in front of the fraction.

y=1.65-19×5

y=1.65-19×5

Reorder 1.65 and -19×5.

y=-19×5+1.65

y=-19×5+1.65

y=-19×5+1.65

Rewrite in slope-intercept form.

y=-195x+1.65

y=-195x+1.65

Using the slope-intercept form, the slope is -195.

m=-195

Find the Slope 10y+38x=16.5