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Exercises Graphs and straight lines

Example 4.53 from Elementary Algebra, 4.5 Use the Slope–Intercept Form of an Equation of a Line

Use the Slope–Intercept Form of an Equation of a Line: example 4.53

Use slopes and y-intercepts to determine if the lines $x = −2$ and $x = −5$ are parallel.

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
$x = −2 and x = −5$

Since there is no $y$ , the equations cannot be put in slope–intercept form. But we recognize them as equations of vertical lines. Their x-intercepts are $−2$ and $−5$ . Since their x-intercepts are different, the vertical lines are parallel.

Your turn

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

Use slopes and y-intercepts to determine if the lines $x = 1$ and $x = −5$ are parallel.

How did it go?

PreviousUse the Slope–Intercept Form of an Equation of a Line: example 4.52 Next Use the Slope–Intercept Form of an Equation of a Line: example 4.54

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 4.5, 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.