Question
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ind the slope of the line

Ask by Guzman Dunn. in the United States
Jan 31,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The slope of the line is 5.

Solution

The given equation of the line is:
This equation is in the slope-intercept form, which is:
Where:
  • is the slope of the line.
  • is the y-intercept (the point where the line crosses the y-axis).
Comparing the given equation to the slope-intercept form:
Therefore, the slope of the line is 5.

Understanding the Slope:
  • The slope indicates the steepness of the line.
  • A slope of 5 means that for every unit increase in , increases by 5 units.
  • Graphically, the line rises sharply as you move from left to right.

Example:
If :
So, the point (0, 12) is on the line.
If :
So, the point (1, 17) is on the line.
The change in divided by the change in between these two points is:
This confirms that the slope is indeed 5.

Answered by UpStudy AI and reviewed by a Professional Tutor

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The Deep Dive

In the equation , the slope is the coefficient of , which is 5. This means for every 1 unit you move to the right along the x-axis, the line moves up 5 units on the y-axis. So, grab your graphing tools and get ready to rise steeply!
Visualize this: if you were a climber working your way up a mountain, your ascent would be at a steep angle, making it a bit more challenging but definitely rewarding! The steepness of 5 indicates a sharper incline, which can be quite exciting if you’re picturing road trips along mountain roads.

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