Question

The equation x+3y=2 can be rewritten in the equivalent form y=___x+____ which revels a slope equals to ___

Answer 1

Hello!

$\large\boxed{Slope = -\frac{1}{3}}$

x + 3y = 2

Rewritten into slope form: y = mx + b

Find the slope when rewritten:

Move x to the right hand side of the equation. (Subtract)

x - x + 3y = 2 - x

3y = 2 - x

Divide both sides by 3:

y = 2/3 - 1/3x

Rearrange:

y = -1/3x + 2/3.

The slope is equivalent to -1/3.