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Exercises Graphs and straight lines

Example 11.24 from Prealgebra, 11.3 Graphing with Intercepts

Graphing with Intercepts: example 11.24

Find the intercepts of $2 x + y = 6$

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
We'll fill in Figure 11.15.

Figure 11.15

To find the x- intercept, let $y = 0$ :

Substitute 0 for y.

Add.

Divide by 2.

The x-intercept is (3, 0).

To find the y- intercept, let $x = 0$ :

Substitute 0 for x.

Multiply.

Add.

The y-intercept is (0, 6).

Figure 11.16

The intercepts are the points $(3, 0)$ and $(0, 6)$ .

Your turn

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

Find the intercepts: $3 x + y = 12$

How did it go?

PreviousGraphing with Intercepts: example 11.23 Next Graphing with Intercepts: example 11.25

From Prealgebra (1st edition) by OpenStax (Rice University), section 11.3, 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.