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Exercises Graphs and straight lines

Example 4.23 from Elementary Algebra, 4.3 Graph with Intercepts

Graph with Intercepts: example 4.23

Graph $4 x - 3 y = 12$ using the intercepts.

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 the intercepts and a third point.

We list the points in Table 4.27 and show the graph below.

$4 x - 3 y = 12$

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

3 0 $(3, 0)$

0 $−4$ $(0, −4)$

6 4 $(6, 4)$

Table 4.27

Your turn

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

Graph $5 x - 2 y = 10$ using the intercepts.

How did it go?

PreviousGraph with Intercepts: example 4.22 Next Understand Slope of a Line: example 4.33

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 4.3, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.