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Select all that apply to the given term: y-intercept A creates a horizontal line creates a vertical line C point (0, #) a line with an equation of x = #. E the point where a line crosses the x-axis F point (x, #) G (8, -9)(-5, -9) H (-3, 6)(-3, 10) the point where a line crosses the y-axis a line with an equation of y #.

Select all that apply to the given term: y-intercept A creates a horizontal line creates a vertical line C point (0, #) a line with an equation of x = #. E the point where a line crosses the x-axis F point (x, #) G (8, -9)(-5, -9) H (-3, 6)(-3, 10) the point where a line crosses the y-axis a line with an equation of y #.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Select all that apply to the given term: y-intercept.
### Question 17/36 Select all that apply to the given term: **y-intercept** - **A.** creates a horizontal line - **B.** creates a vertical line - **C.** point (0, #) - **D.** a line with an equation of \( x = \# \) - **E.** the point where a line crosses the x-axis - **F.** point (x, #) - **G.** (8, -9)(-5, -9) - **H.** (-3, 6)(-3, 10) - **I.** the point where a line crosses the y-axis - **J.** a line with an equation of \( y = \# \) Explanation: - The options presented in this question are related to the concept of a y-intercept in the context of a graph or a coordinate plane. - A y-intercept is a point where a graph intersects the y-axis. This occurs where the value of x is zero. Therefore, the y-intercept can be represented as (0, y). ### Options Analysis: - **A.** A y-intercept does not create a horizontal line. This applies to constant functions not related to the y-axis intersection. - **B.** A y-intercept does not create a vertical line. Vertical lines are represented by equations where \( x \) is constant. - **C.** A correct representation. The y-intercept is a point where x is zero, denoted as (0, y). - **D.** Incorrect. This describes a vertical line equation. - **E.** Incorrect. This refers to an x-intercept. - **F.** Incorrect. This represents a general point, not specifically a y-intercept. - **G.** Incorrect. Points listed do not have x equal to zero. - **H.** Incorrect. Points listed do not have x equal to zero. - **I.** Correct. The y-intercept is the point where a line crosses the y-axis. - **J.** Correct. A line equation of \( y = \# \) can represent the y-intercept.
Transcribed Image Text:### Question 17/36 Select all that apply to the given term: **y-intercept** - **A.** creates a horizontal line - **B.** creates a vertical line - **C.** point (0, #) - **D.** a line with an equation of \( x = \# \) - **E.** the point where a line crosses the x-axis - **F.** point (x, #) - **G.** (8, -9)(-5, -9) - **H.** (-3, 6)(-3, 10) - **I.** the point where a line crosses the y-axis - **J.** a line with an equation of \( y = \# \) Explanation: - The options presented in this question are related to the concept of a y-intercept in the context of a graph or a coordinate plane. - A y-intercept is a point where a graph intersects the y-axis. This occurs where the value of x is zero. Therefore, the y-intercept can be represented as (0, y). ### Options Analysis: - **A.** A y-intercept does not create a horizontal line. This applies to constant functions not related to the y-axis intersection. - **B.** A y-intercept does not create a vertical line. Vertical lines are represented by equations where \( x \) is constant. - **C.** A correct representation. The y-intercept is a point where x is zero, denoted as (0, y). - **D.** Incorrect. This describes a vertical line equation. - **E.** Incorrect. This refers to an x-intercept. - **F.** Incorrect. This represents a general point, not specifically a y-intercept. - **G.** Incorrect. Points listed do not have x equal to zero. - **H.** Incorrect. Points listed do not have x equal to zero. - **I.** Correct. The y-intercept is the point where a line crosses the y-axis. - **J.** Correct. A line equation of \( y = \# \) can represent the y-intercept.
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