Question
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Tutor-Verified Answer
Answer
The slope of the line is
.
Solution
To determine the slope of the line given by the equation
, we can use the slope-intercept form of a linear equation, which is:
Here:
-
represents the slope of the line. -
represents the y-intercept (the point where the line crosses the y-axis).
Comparing the given equation
to the slope-intercept form:
- The coefficient of
is 3, which means the slope is 3. - The constant term is 5, which means the y-intercept
is 5.
Therefore, the slope of the line is
.
Correct Answer:
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Bonus Knowledge
The slope of the line given by the equation
is simply the coefficient of
in the equation, which is
. This means that for every unit increase in
,
increases by
units. So, the correct answer is
!
In real-world terms, if you think of this line as representing a car’s distance over time, a slope of
means the car travels
miles for every hour it drives. Picture that road trip getting a little more exciting with each mile!