Answered

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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 :

GinnyAnswer
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
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