Cruz Zuniga

2023-03-11

How to graph $x-y=1$?

Larissa Pacheco

Beginner2023-03-12Added 3 answers

Graph:

$x-y=1$

X-intercept: value of $x$ when $y=0$

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

$x-0=1$

$x=1$

The x-intercept is $(1,0)$. Plot this point.

Y-intercept: value of $y$ when $x=0$

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

$0-y=1$

$-y=1$

Multiply both sides by $-1$. The signs will change as a result.

$-1(-y)=1\times -1$

$y=-1$

The y-intercept is $(0,-1)$. Plot this point.

Put a line through each of the points.

graph{x-y=1 [-10, 10, -5, 5]}

$x-y=1$

X-intercept: value of $x$ when $y=0$

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

$x-0=1$

$x=1$

The x-intercept is $(1,0)$. Plot this point.

Y-intercept: value of $y$ when $x=0$

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

$0-y=1$

$-y=1$

Multiply both sides by $-1$. The signs will change as a result.

$-1(-y)=1\times -1$

$y=-1$

The y-intercept is $(0,-1)$. Plot this point.

Put a line through each of the points.

graph{x-y=1 [-10, 10, -5, 5]}