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Exercises Equations and inequalities

Example 8 from Algebra and Trigonometry, 2.2 Linear Equations in One Variable

Finding the Slope of a Line Given Two Points

Find the slope of a line that passes through the points $- \frac{4}{7} .$ and $(−5, 3) .$

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 substitute the y-values and the x-values into the formula.

$\begin{matrix} m & = & \frac{3 - (−1)}{−5 - 2} \\ = & \frac{4}{−7} \\ = & - \frac{4}{7} \end{matrix}$
The slope is $- \frac{4}{7} .$

Your turn

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

Find the slope of the line that passes through the points $(−2, 6)$ and $(1, 4) .$

How did it go?

PreviousSolving a Rational Equation with Factored Denominators and Stating Excluded Values Next Identifying the Slope and y-intercept of a Line Given an Equation

From Algebra and Trigonometry (1st edition) by OpenStax (Rice University), section 2.2, 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.