How do you draw the straight line graphs for the equations y = -2x + 3 and x + y = 5?

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

• Let $x = 0$:

This gives the point $(0, 3)$.

• Let $x = 1$:

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

Plot the points $(0, 3)$ and $(1, 1)$ on a coordinate plane. Draw a straight line passing through these two points. This line represents the graph of $y = -2x + 3$.

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

• Let $x = 0$:

This gives the point $(0, 5)$.

• Let $y = 0$:

This gives the point $(5, 0)$.

Plot the points $(0, 5)$ and $(5, 0)$ on a coordinate plane. Draw a straight line passing through these two points. This line represents the graph of $x + y = 5$.