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Exercises Graphs and straight lines

Example 11.23 from Prealgebra, 11.3 Graphing with Intercepts

Graphing with Intercepts: example 11.23

Find the $x - and y -intercepts$ of each line:

ⓐ $x + 2 y = 4$
ⓑ $3 x - y = 6$
ⓒ $x + y = −5$

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

ⓐ

The graph crosses the x-axis at the point (4, 0). The x-intercept is (4, 0).

The graph crosses the y-axis at the point (0, 2). The x-intercept is (0, 2).

ⓑ

The graph crosses the x-axis at the point (2, 0). The x-intercept is (2, 0)

The graph crosses the y-axis at the point (0, −6). The y-intercept is (0, −6).

ⓒ

The graph crosses the x-axis at the point (−5, 0). The x-intercept is (−5, 0).

The graph crosses the y-axis at the point (0, −5). The y-intercept is (0, −5).

Your turn

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

Find the $x -$ and $y -intercepts$ of the graph: $x - y = 2 .$

The graph shows the x y-coordinate plane. The x and y-axis each run from -7 to 7. A line passes through the points “ordered pair 0, 2” and “ordered pair 2, 0”.

How did it go?

PreviousGraphing Linear Equations: example 11.22 Next Graphing with Intercepts: example 11.24

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.