Question

1. $x - y=-1$

Explanation:

Step1: Rewrite the equation in slope - intercept form.

We have $x - y=-1$, which can be rewritten as $y=x + 1$ by adding $y$ and 1 to both sides of the equation.

Step2: Find the y - intercept.

In the slope - intercept form $y=mx + b$ (where $m$ is the slope and $b$ is the y - intercept), for $y=x + 1$, the y - intercept $b = 1$. So the line crosses the y - axis at the point $(0,1)$.

Step3: Find the x - intercept.

Set $y = 0$ in the equation $y=x + 1$. Then $0=x + 1$, and solving for $x$ gives $x=-1$. So the line crosses the x - axis at the point $(-1,0)$.

Step4: Plot the points and draw the line.

Plot the points $(-1,0)$ and $(0,1)$ on the coordinate plane and draw a straight line passing through them.

Answer:

The graph of the line $y=x + 1$ passes through the points $(-1,0)$ and $(0,1)$.