Graph the following linear equations by finding two points for each: a) y = -2x + 3 b) x + y = 5

• Let $x = 0$:

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

• Let $x = 1$:

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

Draw a straight line passing through these two points.
The points for the graph are: $\boxed{\textbf{Point 1: } (0, 3), \textbf{ Point 2: } (1, 1)}$

• Let $x = 0$:

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

• Let $y = 0$:

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

Draw a straight line passing through these two points.
The points for the graph are: $\boxed{\textbf{Point 1: } (0, 5), \textbf{ Point 2: } (5, 0)}$