Math / Geometry

Question4 3 -דיןי COUNTING RISE OVER RUN To determine the slope of the line, count and record the rise over run! AY 4 32 RISE: x RUN: -5-4-3-2-1 -1 -2 -3 235 -4 -5 3 4 5

Studdy Solution

STEP 1

What is this asking? Find the slope of the line shown on the graph. Watch out! Make sure to pay attention to the signs of the rise and run, as they determine the overall sign of the slope.

STEP 2

1. Find two points on the line.
2. Calculate the rise.
3. Calculate the run.
4. Calculate the slope.

STEP 3

Let's pick two points where the line crosses nice and cleanly at the intersection of grid lines.
How about $(-4, -5)$ and $(3, 4)$ ?
Perfect!

STEP 4

The rise is the change in the $y$ -values between our two points.
Think of it like climbing a mountain: how far up do we go?
We start at a $y$ -value of $-5$ and end at $4$ .
So the change is $4 - (-5)$ .

STEP 5

Remember, subtracting a negative number is the same as adding its positive counterpart!
So, $4 - (-5)$ becomes $4 + 5 = \textbf{9}$ .
Our rise is $\textbf{9}$ .

STEP 6

The run is the change in the $x$ -values.
Think of it like running across a field: how far over do we go?
We start at an $x$ -value of $-4$ and end at $3$ .
So the change is $3 - (-4)$ .

STEP 7

Just like before, subtracting a negative is the same as adding! $3 - (-4)$ becomes $3 + 4 = \textbf{7}$ .
Our run is $\textbf{7}$ .

STEP 8

The slope is simply the rise divided by the run.
It tells us how steep the line is!
We found our rise to be $9$ and our run to be $7$ , so our slope is $\frac{9}{7}$ .

STEP 9

The slope of the line is $\frac{9}{7}$ .

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Question4 3 -דיןי COUNTING RISE OVER RUN To determine the slope of the line, count and record the rise over run! AY 4 32 RISE: x RUN: -5-4-3-2-1 -1 -2 -3 235 -4 -5 3 4 5

Studdy Solution

STEP 1

What is this asking? Find the slope of the line shown on the graph. Watch out! Make sure to pay attention to the signs of the rise and run, as they determine the overall sign of the slope.

STEP 2

1. Find two points on the line.
2. Calculate the rise.
3. Calculate the run.
4. Calculate the slope.

STEP 3

Let's pick two points where the line crosses nice and cleanly at the intersection of grid lines.
How about $(-4, -5)$ and $(3, 4)$ ?
Perfect!

STEP 4

The rise is the change in the $y$ -values between our two points.
Think of it like climbing a mountain: how far up do we go?
We start at a $y$ -value of $-5$ and end at $4$ .
So the change is $4 - (-5)$ .

STEP 5

Remember, subtracting a negative number is the same as adding its positive counterpart!
So, $4 - (-5)$ becomes $4 + 5 = \textbf{9}$ .
Our rise is $\textbf{9}$ .

STEP 6

The run is the change in the $x$ -values.
Think of it like running across a field: how far over do we go?
We start at an $x$ -value of $-4$ and end at $3$ .
So the change is $3 - (-4)$ .

STEP 7

Just like before, subtracting a negative is the same as adding! $3 - (-4)$ becomes $3 + 4 = \textbf{7}$ .
Our run is $\textbf{7}$ .

STEP 8

The slope is simply the rise divided by the run.
It tells us how steep the line is!
We found our rise to be $9$ and our run to be $7$ , so our slope is $\frac{9}{7}$ .

STEP 9

The slope of the line is $\frac{9}{7}$ .

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Question4 3 -דיןי COUNTING RISE OVER RUN To determine the slope of the line, count and record the rise over run! AY 4 32 RISE: x RUN: -5-4-3-2-1 -1 -2 -3 235 -4 -5 3 4 5

Studdy Solution

STEP 1

What is this asking? Find the slope of the line shown on the graph. Watch out! Make sure to pay attention to the signs of the rise and run, as they determine the overall sign of the slope.

STEP 2

1. Find two points on the line.2. Calculate the rise.3. Calculate the run.4. Calculate the slope.

STEP 3

Let's pick two points where the line crosses nice and cleanly at the intersection of grid lines.How about (−4,−5)(-4, -5)(−4,−5) and (3,4)(3, 4)(3,4)?Perfect!

STEP 4

The **rise** is the change in the yyy-values between our two points.Think of it like climbing a mountain: how far up do we go?We start at a yyy-value of −5-5−5 and end at 444.So the change is 4−(−5)4 - (-5)4−(−5).

STEP 5

Remember, subtracting a negative number is the same as adding its positive counterpart!So, 4−(−5)4 - (-5)4−(−5) becomes 4+5=94 + 5 = \textbf{9}4+5=9.Our **rise** is 9\textbf{9}9.

STEP 6

The **run** is the change in the xxx-values.Think of it like running across a field: how far over do we go?We start at an xxx-value of −4-4−4 and end at 333.So the change is 3−(−4)3 - (-4)3−(−4).

STEP 7

Just like before, subtracting a negative is the same as adding! 3−(−4)3 - (-4)3−(−4) becomes 3+4=73 + 4 = \textbf{7}3+4=7.Our **run** is 7\textbf{7}7.

STEP 8

The **slope** is simply the **rise** divided by the **run**.It tells us how steep the line is!We found our **rise** to be 999 and our **run** to be 777, so our slope is 97\frac{9}{7}79​.

STEP 9

The slope of the line is 97\frac{9}{7}79​.

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1. Find two points on the line.
2. Calculate the rise.
3. Calculate the run.
4. Calculate the slope.

Let's pick two points where the line crosses nice and cleanly at the intersection of grid lines.
How about $(-4, -5)$ and $(3, 4)$ ?
Perfect!

The rise is the change in the $y$ -values between our two points.
Think of it like climbing a mountain: how far up do we go?
We start at a $y$ -value of $-5$ and end at $4$ .
So the change is $4 - (-5)$ .

Remember, subtracting a negative number is the same as adding its positive counterpart!
So, $4 - (-5)$ becomes $4 + 5 = \textbf{9}$ .
Our rise is $\textbf{9}$ .

The run is the change in the $x$ -values.
Think of it like running across a field: how far over do we go?
We start at an $x$ -value of $-4$ and end at $3$ .
So the change is $3 - (-4)$ .

Just like before, subtracting a negative is the same as adding! $3 - (-4)$ becomes $3 + 4 = \textbf{7}$ .
Our run is $\textbf{7}$ .

The slope is simply the rise divided by the run.
It tells us how steep the line is!
We found our rise to be $9$ and our run to be $7$ , so our slope is $\frac{9}{7}$ .

The slope of the line is $\frac{9}{7}$ .