Answered

Get expert advice and insights on any topic with IDNLearn.com. Get accurate and timely answers to your queries from our extensive network of experienced professionals.

What is the [tex]\( y \)[/tex]-intercept of the line given by the equation [tex]\( y = 5x - 21 \)[/tex]?

A. [tex]\( (0, -21) \)[/tex]
B. [tex]\( (0, -5) \)[/tex]
C. [tex]\( (0, 5) \)[/tex]
D. [tex]\( (0, 21) \)[/tex]

Sagot :

GinnyAnsweridn
To find the [tex]\( y \)[/tex]-intercept of the line given by the equation [tex]\( y = 5x - 21 \)[/tex], you need to determine the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is 0.

The general form of a linear equation is [tex]\( y = mx + b \)[/tex], where:
- [tex]\( m \)[/tex] is the slope of the line.
- [tex]\( b \)[/tex] is the [tex]\( y \)[/tex]-intercept, which is the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is 0.

Given the equation [tex]\( y = 5x - 21 \)[/tex]:
- [tex]\( m \)[/tex] (the slope) is 5.
- [tex]\( b \)[/tex] (the [tex]\( y \)[/tex]-intercept) is -21.

To find the [tex]\( y \)[/tex]-intercept, substitute [tex]\( x = 0 \)[/tex] into the equation:
[tex]\[ y = 5(0) - 21 \][/tex]
[tex]\[ y = 0 - 21 \][/tex]
[tex]\[ y = -21 \][/tex]

Therefore, the [tex]\( y \)[/tex]-intercept is [tex]\((0, -21)\)[/tex].

The correct answer is:
A. [tex]\((0, -21)\)[/tex]
A because according to the information Gaven on the problem you are trying to solve on.
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and come back for more insightful information.