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Given the equations y = 16 and y = 3. Determine the slope and y-intercept if any exist.

Question:

Given the equations {eq}y = 16 {/eq} and {eq}y = 3 {/eq}. Determine the slope and {eq}y {/eq}-intercept if any exist.

Horizontal Line

A horizontal line is a line with a zero slope. This means that the value for the ordinate does not change and it will never intersect with the x-axis and has the form {eq}y = b {/eq}

Answer and Explanation:

The equations {eq}y =16 {/eq} and {eq}y = 3 {/eq} are horizontal lines. Thus, they have slopes equal to zero. by definition of being a horizontal line, it never intersects with the x-axis and there are no x-intercepts.

The y-intercepts are the equations themselves, the y-intercept of {eq}y = 16 {/eq} is {eq}16 {/eq}. The y-intercept of {eq}y = 3 {/eq} is {eq}3 {/eq}.


Learn more about this topic:

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Zero Slope: Definition & Examples

from GMAT Prep: Tutoring Solution

Chapter 14 / Lesson 16
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