Math / Geometry

Questionslideshow Transition
CounTINC ${ }_{10}$ -

Studdy Solution

STEP 1

What is this asking? We need to find the slope of a line on a graph, which means figuring out how steep it is! Watch out! Rise goes up and down (positive up, negative down), while run goes left and right (positive right, negative left).
Don't mix them up!

STEP 2

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

STEP 3

Let's locate two clear points on the line.
We can see one at $(0, 8)$ and another at $(10, 0)$ .
Perfect!

STEP 4

The rise is the change in the vertical direction, or how much the line goes up or down.
We go from a y-value of 8 down to 0.
That's a change of $0 - 8 = -8$ .
So our rise is $-8$ .

STEP 5

The run is the change in the horizontal direction, or how much the line goes left or right.
We start at an x-value of 0 and move to 10.
That's a change of $10 - 0 = 10$ .
Our run is $10$ .

STEP 6

The slope, often called "rise over run," is calculated by dividing the rise by the run.

STEP 7

In our case, the rise is $-8$ and the run is $10$ .
So, the slope is: $\frac{-8}{10}$

STEP 8

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is $2$ . $\frac{-8}{10} = \frac{-8 \div 2}{10 \div 2} = \frac{-4}{5}$ So, our simplified slope is $-\frac{4}{5}$ .

STEP 9

The slope of the line is $-\frac{4}{5}$ .

Was this helpful?

Questionslideshow Transition
CounTINC ${ }_{10}$ -

Studdy Solution

STEP 1

What is this asking? We need to find the slope of a line on a graph, which means figuring out how steep it is! Watch out! Rise goes up and down (positive up, negative down), while run goes left and right (positive right, negative left).
Don't mix them up!

STEP 2

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

STEP 3

Let's locate two clear points on the line.
We can see one at $(0, 8)$ and another at $(10, 0)$ .
Perfect!

STEP 4

The rise is the change in the vertical direction, or how much the line goes up or down.
We go from a y-value of 8 down to 0.
That's a change of $0 - 8 = -8$ .
So our rise is $-8$ .

STEP 5

The run is the change in the horizontal direction, or how much the line goes left or right.
We start at an x-value of 0 and move to 10.
That's a change of $10 - 0 = 10$ .
Our run is $10$ .

STEP 6

The slope, often called "rise over run," is calculated by dividing the rise by the run.

STEP 7

In our case, the rise is $-8$ and the run is $10$ .
So, the slope is: $\frac{-8}{10}$

STEP 8

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is $2$ . $\frac{-8}{10} = \frac{-8 \div 2}{10 \div 2} = \frac{-4}{5}$ So, our simplified slope is $-\frac{4}{5}$ .

STEP 9

The slope of the line is $-\frac{4}{5}$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Questionslideshow TransitionCounTINC 10{ }_{10}10​ -

Studdy Solution

STEP 1

What is this asking? We need to find the slope of a line on a graph, which means figuring out how steep it is! Watch out! Rise goes up and down (positive up, negative down), while run goes left and right (positive right, negative left).Don't mix them up!

STEP 2

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

STEP 3

Let's **locate** two clear points on the line.We can see one at (0,8) (0, 8) (0,8) and another at (10,0) (10, 0) (10,0).Perfect!

STEP 4

The **rise** is the change in the vertical direction, or how much the line goes up or down.We go from a y-value of **8** down to **0**.That's a change of 0−8=−8 0 - 8 = -8 0−8=−8.So our **rise** is −8-8−8.

STEP 5

The **run** is the change in the horizontal direction, or how much the line goes left or right.We start at an x-value of **0** and move to **10**.That's a change of 10−0=10 10 - 0 = 10 10−0=10.Our **run** is 101010.

STEP 6

The **slope**, often called "rise over run," is calculated by dividing the **rise** by the **run**.

STEP 7

In our case, the **rise** is −8-8−8 and the **run** is 101010.So, the **slope** is: −810 \frac{-8}{10} 10−8​

STEP 8

STEP 9

The slope of the line is −45 -\frac{4}{5} −54​.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Questionslideshow Transition
CounTINC ${ }_{10}$ -

What is this asking? We need to find the slope of a line on a graph, which means figuring out how steep it is! Watch out! Rise goes up and down (positive up, negative down), while run goes left and right (positive right, negative left).
Don't mix them up!

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

Let's locate two clear points on the line.
We can see one at $(0, 8)$ and another at $(10, 0)$ .
Perfect!

The rise is the change in the vertical direction, or how much the line goes up or down.
We go from a y-value of 8 down to 0.
That's a change of $0 - 8 = -8$ .
So our rise is $-8$ .

The run is the change in the horizontal direction, or how much the line goes left or right.
We start at an x-value of 0 and move to 10.
That's a change of $10 - 0 = 10$ .
Our run is $10$ .

The slope, often called "rise over run," is calculated by dividing the rise by the run.

In our case, the rise is $-8$ and the run is $10$ .
So, the slope is: $\frac{-8}{10}$

The slope of the line is $-\frac{4}{5}$ .