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Exercises Graphs and straight lines

Example 4.57 from Elementary Algebra, 4.6 Find the Equation of a Line

Find the Equation of a Line: example 4.57

Find an equation of a line with slope $−7$ and y-intercept $(0, −1)$ .

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
Since we are given the slope and y-intercept of the line, we can substitute the needed values into the slope–intercept form, $y = m x + b$ .

Name the slope.

Name the y-intercept.

Substitute the values into $y = m x + b .$

Your turn

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

Find an equation of a line with slope $\frac{2}{5}$ and y-intercept $(0, 4)$ .

How did it go?

PreviousUse the Slope–Intercept Form of an Equation of a Line: example 4.56 Next Find the Equation of a Line: example 4.58

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 4.6, 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.