QuestionFit
Studdy Solution
STEP 1
What is this asking? We need to find the slope of the line shown in the graph. Watch out! Don't mix up rise and run, and remember rise can be negative!
STEP 2
1. Find the rise.
2. Find the run.
3. Calculate the slope.
STEP 3
Alright, let's do this!
The **rise** is the change in the -value between two points on the line.
Looking at our graph, we can see that the -value changes from to as we move from left to right.
STEP 4
So, to find the **rise**, we subtract the **initial** -value from the **final** -value:
Our **rise** is !
That means we're going *down* 2 units.
STEP 5
Now for the **run**!
This is the change in the -value between the same two points.
On our graph, the -value changes from to as we move from left to right.
STEP 6
To find the **run**, we subtract the **initial** -value from the **final** -value:
Our **run** is !
That means we're moving units to the *right*.
STEP 7
Now comes the grand finale: calculating the **slope**!
Remember, the **slope** is simply the **rise** divided by the **run**.
STEP 8
Let's plug in our values:
STEP 9
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is : So, our **final slope** is !
STEP 10
The slope of the line is .
Was this helpful?