Beginning Algebra, 11th Edition

We can summarize this discussion as follows. Slope is a single number that allows us to determine the direction in which a line ...

Moving along the line from the point to the point , we see that y changes by units. This is the vertical change (rise). Similarl ...

(b)The line through and y-value Corresponding x-value See FIGURE 23. Again, note that the same slope is obtained by subtracting ...

Finding the Slope of a Vertical Line Find the slope of the line through and Undefined slope Since division by 0 is undefined, th ...

Finding Slopes from Equations Find the slope of each line. (a) Step 1 Solve the equation for y. Subtract from each side. Divide ...

FIGURE 28shows the graphs of and These lines appear to be perpendicular(that is, they intersect at a 90° angle). As shown earlie ...

206 CHAPTER 3 Linear Equations and Inequalities in Two Variables; Functions Since the slopes and 3 are not equal, the lines are ...

9.Concept Check Match the graph of each line in (a)–(d) with its slope in A–D. (a) (b) (c) (d) A. B. C. D. 10.Concept Check Deci ...

23.Concept Check What is the slope of the slide? (Hint:The slide drops 8 ft vertically as it extends 12 ft hori- zontally.) 24.C ...

For each pair of equations, give the slopes of the lines and then determine whether the two lines are parallel, perpendicular,or ...

The graph shows album sales (which include CD, vinyl, cassette, and digital albums) and music purchases (which include digital t ...

Identifying Slopes and y-Intercepts Identify the slope and y-intercept of the line with each equation. (a) Slope y-intercept (b) ...

Writing an Equation of a Line Write an equation of the line with slope and y-intercept Here, and so the equation is Slope y-inte ...

(b) Step 1 Solve for yto write the equation in slope-intercept form. Subtract 3x. Slope-intercept form Divide by 4. Step 2 The y ...

Using the Slope-Intercept Form to Write an Equation Write an equation, in slope-intercept form, of the line having slope 4 passi ...

(b)Through with slope Point-slope form Let Distributive property Add to each side. Combine like terms. NOW TRY OBJECTIVE 4 Write ...

NOTE In Example 7,the same result would be found by using for. We could also substitute the slope and either given point in slop ...

The points appear to lie approximately in a straight line. We choose the ordered pairs and from the table and find the slope of ...

218 CHAPTER 3 Linear Equations and Inequalities in Two Variables; Functions Complete solution available on the Video Resources o ...

Write the equation of each line with the given slope and y-intercept. See Example 2. 27.Undefined slope, 2 ...