Answered

Find answers to your questions and expand your knowledge with IDNLearn.com. Get accurate and detailed answers to your questions from our knowledgeable and dedicated community members.

The equation of a line in slope-intercept form is [tex]$y=mx+b$[/tex], where [tex]$m$[/tex] is the slope.

A. True
B. False

Sagot :

GinnyAnsweridn
Let's break down the components of the equation of a line in slope-intercept form, which is written as:

[tex]\[ y = mx + b \][/tex]

In this equation:
- [tex]\( y \)[/tex] represents the dependent variable (typically the vertical axis in a graph).
- [tex]\( x \)[/tex] represents the independent variable (typically the horizontal axis in a graph).
- [tex]\( m \)[/tex] represents the slope of the line.
- [tex]\( b \)[/tex] represents the y-intercept of the line (the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is 0).

To clarify further:
- The slope [tex]\( m \)[/tex] indicates how steep the line is. It is defined as the rise over the run or the change in [tex]\( y \)[/tex] divided by the change in [tex]\( x \)[/tex] between any two points on the line.
- The y-intercept [tex]\( b \)[/tex] is the point where the line crosses the y-axis. This is the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is zero.

Given the question at hand:

- The assertion is that in the equation [tex]\( y = mx + b \)[/tex], [tex]\( m \)[/tex] represents the [tex]\( x \)[/tex]-intercept.

This statement is incorrect. The correct interpretation is that [tex]\( m \)[/tex] is the slope of the line, not the [tex]\( x \)[/tex]-intercept.

Therefore, the correct answer is:

B. False
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.