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Chapter 13: Q. 1 (page 525)

What is the x-coordinate of every point that lies on a vertical line through C?

Short Answer

Expert verified

The x-coordinate is −4.

Step by step solution

01

Step 1. Write the concept.

Horizontal lines go side to side and have a slope of 0. Vertical lines go up and down and have a slope that is undefined. Graph of horizontal lines are parallel to the x-axis. Graphs of vertical lines are parallel to the y-axis.

02

Step 2. Explanation.

The graph can be constructed as in below:

From the graph, the coordinate of the point C is (-4, 4).

03

Step 3. Conclusion.

If a vertical line passes through the point C, then the x-coordinate is (-4).

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Most popular questions from this chapter

A line with slope−52 passes through points (7, -4) and (?, 6).

Find the coordinates of the point that is equidistant from (-2, 5), (8, 5), and (6, 7).

Find the slope of the line through the points named. If the slope is not defined, write not defined.

(1, 2); (-2, 5)

This exercise provides a geometric method of justifying the fact that you can use any two points on a line to determine the slope of the line. Horizontal and vertical segments have been drawn as shown. Supply the reason for each step.

Key steps of proof:

1. ∠B≅∠A2. ∠1≅∠23. ΔLBN~ΔDAJ4. BNAJ=LBDA, or BNLB=AJDA

5. The slope of LN equalsBNLB and the slope of DJ equalsAJDA

6. Slope of LN equals to slope of DJ.

3. Find OD and BF.
See all solutions

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