How do you draw straight line graphs for the equations y = x + 1 and y − x = 2?

Choose two values for $x$ and calculate the corresponding $y$ values.

• Let $x = 0$:

This gives the point $(0, 1)$.

• Let $x = 1$:

This gives the point $(1, 2)$.

Plot the points $(0, 1)$ and $(1, 2)$ on a coordinate plane. Draw a straight line passing through these two points. This line represents the graph of $y = x + 1$.
The points for the graph are: $\boxed{\textbf{Point 1: } (0, 1), \textbf{ Point 2: } (1, 2)}$

First, rewrite the equation as $y = x + 2$.
Choose two values for $x$ and calculate the corresponding $y$ values.

• Let $x = 0$:

This gives the point $(0, 2)$.

• Let $x = 1$:

This gives the point $(1, 3)$.

Plot the points $(0, 2)$ and $(1, 3)$ on a coordinate plane. Draw a straight line passing through these two points. This line represents the graph of $y - x = 2$.
The points for the graph are: $\boxed{\textbf{Point 1: } (0, 2), \textbf{ Point 2: } (1, 3)}$