Table of contents

0. Review of College Algebra4h 43m
1. Measuring Angles40m
2. Trigonometric Functions on Right Triangles2h 5m
3. Unit Circle1h 19m
4. Graphing Trigonometric Functions1h 19m
5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
6. Trigonometric Identities and More Equations2h 34m
7. Non-Right Triangles1h 38m
8. Vectors2h 25m
9. Polar Equations2h 5m
10. Parametric Equations1h 6m
11. Graphing Complex Numbers1h 7m

0. Review of College Algebra

Basics of Graphing

Trigonometry

0. Review of College Algebra

Basics of Graphing

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1:52 minutes

Problem 41

Textbook Question

Concept Check Answer each question.If a vertical line is drawn through the point (4, 3), at what point will it intersect the x-axis?

Verified step by step guidance

Understand that a vertical line has an undefined slope and runs parallel to the y-axis.

Recognize that a vertical line through the point (4, 3) will have the equation x = 4.

Recall that the x-axis is the line where y = 0.

To find the intersection of the vertical line with the x-axis, set y = 0 in the equation of the line.

Since the equation of the line is x = 4, the intersection point with the x-axis is (4, 0).

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Vertical Line

A vertical line is defined by an equation of the form x = a, where 'a' is a constant. In this case, the vertical line through the point (4, 3) can be represented by the equation x = 4. This line runs parallel to the y-axis and intersects the x-axis at the point where y equals zero.

X-Axis Intersection

The x-axis is the horizontal line in a Cartesian coordinate system where the value of y is always zero. To find the intersection of a vertical line with the x-axis, we set y = 0 in the equation of the vertical line. For the line x = 4, the intersection point with the x-axis is (4, 0).

Coordinate System

A coordinate system is a two-dimensional plane defined by an x-axis (horizontal) and a y-axis (vertical). Each point on this plane is represented by an ordered pair (x, y). Understanding how to navigate this system is crucial for determining the location of points and their relationships, such as intersections.