# What is the y intercept of the line x-y=12 ?

Jun 1, 2018

$y = - 12$

$m = 1$

#### Explanation:

Put it in slope intercept form:

$x - y = 12$

$- y = - x + 12$

$y = x - 12$

So the y-intercept is $- 12$

graph{x-12 [-16.79, 23.21, -17, 3]}

Jun 1, 2018

$y = - 12$

The point for the y-intercept is $\left(0 , - 12\right)$.

#### Explanation:

Given:

$x - y = 12$

This equation is the standard form for a linear equation: $A x + B y = C$

The y-intercept is the value of $y$ when $x = 0$.

Substitute $0$ for $x$ and solve for $y$.

$0 - y = 12$

$- y = 12$

Divide both sides by $- 1$. This will reverse the signs.

$y = - 12$

The point for the y-intercept is $\left(0 , - 12\right)$.

graph{x-y=12 [-16.23, 15.8, -14.85, 1.17]}