Example 11.18 from Prealgebra, 11.2 Graphing Linear Equations

Graphing Linear Equations: example 11.18

Graph the equation $x + y = 5 .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
Find three points that are solutions to the equation. Remember, you can start with any value of $x$ or $y .$

We list the points in a table.

$x + y = 5$

$x$ $y$ $(x, y)$

$0$ $5$ $(0, 5)$

$1$ $4$ $(1, 4)$

$4$ $1$ $(4, 1)$

Then plot the points, check that they line up, and draw the line.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Graph the equation: $x + y = −2 .$

How did it go?