Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

What is the y-intercept of the line given by the equation below?

[tex]y = -10x + 14[/tex]

A. [tex]\(( -10, 0 )\)[/tex]
B. [tex]\(( 0, -10 )\)[/tex]
C. [tex]\(( 14, 0 )\)[/tex]
D. [tex]\(( 0, 14 )\)[/tex]

Sagot :

GinnyAnswer
To determine the y-intercept of the line given by the equation [tex]\( y = -10x + 14 \)[/tex], follow these steps:

1. Understand the y-intercept: The y-intercept is the point where the line crosses the y-axis. This occurs where [tex]\( x \)[/tex] is equal to 0.

2. Set [tex]\( x \)[/tex] to 0 in the equation: Substitute [tex]\( x = 0 \)[/tex] into the equation [tex]\( y = -10x + 14 \)[/tex].

[tex]\[ y = -10(0) + 14 \][/tex]

3. Calculate the value of [tex]\( y \)[/tex]:

[tex]\[ y = 0 + 14 \][/tex]

[tex]\[ y = 14 \][/tex]

4. Determine the y-intercept point: Since the y-intercept is where [tex]\( x = 0 \)[/tex], and we have found [tex]\( y = 14 \)[/tex], the y-intercept is the point [tex]\((0, 14)\)[/tex].

Thus, the y-intercept of the line [tex]\( y = -10x + 14 \)[/tex] is:

[tex]\[ \boxed{(0, 14)} \][/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.