Math / Geometry

QuestionCOUNTING RISE OVER RUN To determine the slope of the line, count and record the rise over run!

Studdy Solution

STEP 1

What is this asking? We need to find the slope of the line shown on the graph by counting the rise and run between two points on the line. Watch out! Make sure to pay attention to the signs of the rise and run: up is positive, down is negative, right is positive, and left is negative!

STEP 2

1. Identify two clear points.
2. Count the rise.
3. Count the run.
4. Calculate the slope.

STEP 3

Let's pick two points where the line crosses the gridlines perfectly!
Looking at the graph, we can clearly see the line goes through $(-4, -3)$ and $(2, 2)$ .
Perfect!

STEP 4

Let's count the rise, which is the vertical change between our two points.
Starting at $(-4, -3)$ , we need to go up to reach the height of $(2, 2)$ .
Count with me: one, two, three, four, five units up!
Since we went up, our rise is positive 5.

STEP 5

Now, let's count the run, the horizontal change.
From our starting point at $(-4, -3)$ after going up 5, we need to move right to get to $(2, 2)$ .
Count it out: one, two, three, four, five, six units to the right!
Since we moved right, our run is positive 6.

STEP 6

The slope is the rise over run, like a fraction!
We found our rise is $5$ and our run is $6$ .
So, our slope is $\frac{\textbf{rise}}{\textbf{run}} = \frac{5}{6}$ .
Awesome!

STEP 7

The slope of the line is $\frac{5}{6}$ .

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QuestionCOUNTING RISE OVER RUN To determine the slope of the line, count and record the rise over run!

Studdy Solution

STEP 1

What is this asking? We need to find the slope of the line shown on the graph by counting the rise and run between two points on the line. Watch out! Make sure to pay attention to the signs of the rise and run: up is positive, down is negative, right is positive, and left is negative!

STEP 2

1. Identify two clear points.
2. Count the rise.
3. Count the run.
4. Calculate the slope.

STEP 3

Let's pick two points where the line crosses the gridlines perfectly!
Looking at the graph, we can clearly see the line goes through $(-4, -3)$ and $(2, 2)$ .
Perfect!

STEP 4

Let's count the rise, which is the vertical change between our two points.
Starting at $(-4, -3)$ , we need to go up to reach the height of $(2, 2)$ .
Count with me: one, two, three, four, five units up!
Since we went up, our rise is positive 5.

STEP 5

Now, let's count the run, the horizontal change.
From our starting point at $(-4, -3)$ after going up 5, we need to move right to get to $(2, 2)$ .
Count it out: one, two, three, four, five, six units to the right!
Since we moved right, our run is positive 6.

STEP 6

The slope is the rise over run, like a fraction!
We found our rise is $5$ and our run is $6$ .
So, our slope is $\frac{\textbf{rise}}{\textbf{run}} = \frac{5}{6}$ .
Awesome!

STEP 7

The slope of the line is $\frac{5}{6}$ .

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QuestionCOUNTING RISE OVER RUN To determine the slope of the line, count and record the rise over run!

Studdy Solution

STEP 1

What is this asking? We need to find the slope of the line shown on the graph by counting the rise and run between two points on the line. Watch out! Make sure to pay attention to the signs of the rise and run: up is positive, down is negative, right is positive, and left is negative!

STEP 2

1. Identify two clear points.2. Count the rise.3. Count the run.4. Calculate the slope.

STEP 3

Let's **pick two points** where the line crosses the gridlines perfectly!Looking at the graph, we can clearly see the line goes through (−4,−3)(-4, -3)(−4,−3) and (2,2)(2, 2)(2,2).Perfect!

STEP 4

Let's **count the rise**, which is the vertical change between our two points.Starting at (−4,−3)(-4, -3)(−4,−3), we need to go **up** to reach the height of (2,2)(2, 2)(2,2).Count with me: one, two, three, four, **five** units up!Since we went up, our **rise is positive 5**.

STEP 5

Now, let's **count the run**, the horizontal change.From our starting point at (−4,−3)(-4, -3)(−4,−3) after going up 5, we need to move **right** to get to (2,2)(2, 2)(2,2).Count it out: one, two, three, four, five, **six** units to the right!Since we moved right, our **run is positive 6**.

STEP 6

The **slope** is the *rise over run*, like a fraction!We found our **rise** is 555 and our **run** is 666.So, our **slope** is riserun=56 \frac{\textbf{rise}}{\textbf{run}} = \frac{5}{6} runrise​=65​.Awesome!

STEP 7

The slope of the line is 56\frac{5}{6}65​.

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1. Identify two clear points.
2. Count the rise.
3. Count the run.
4. Calculate the slope.

Let's pick two points where the line crosses the gridlines perfectly!
Looking at the graph, we can clearly see the line goes through $(-4, -3)$ and $(2, 2)$ .
Perfect!

Let's count the rise, which is the vertical change between our two points.
Starting at $(-4, -3)$ , we need to go up to reach the height of $(2, 2)$ .
Count with me: one, two, three, four, five units up!
Since we went up, our rise is positive 5.

Now, let's count the run, the horizontal change.
From our starting point at $(-4, -3)$ after going up 5, we need to move right to get to $(2, 2)$ .
Count it out: one, two, three, four, five, six units to the right!
Since we moved right, our run is positive 6.

The slope is the rise over run, like a fraction!
We found our rise is $5$ and our run is $6$ .
So, our slope is $\frac{\textbf{rise}}{\textbf{run}} = \frac{5}{6}$ .
Awesome!

The slope of the line is $\frac{5}{6}$ .