10x-3y=1

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

y=mx+b

Subtract 10x from both sides of the equation.

-3y=1-10x

Divide each term by -3 and simplify.

Divide each term in -3y=1-10x by -3.

-3y-3=1-3+-10x-3

Cancel the common factor of -3.

Cancel the common factor.

-3y-3=1-3+-10x-3

Divide y by 1.

y=1-3+-10x-3

y=1-3+-10x-3

Simplify 1-3+-10x-3.

Simplify each term.

Move the negative in front of the fraction.

y=-13+-10x-3

Dividing two negative values results in a positive value.

y=-13+10×3

y=-13+10×3

Reorder -13 and 10×3.

y=10×3-13

y=10×3-13

y=10×3-13

Rewrite in slope-intercept form.

y=103x-13

y=103x-13

Using the slope-intercept form, the slope is 103.

m=103

Find the Slope 10x-3y=1