Question

Find the slope of a line that passes through the points (0,9) and (6,0)

Answer 1

Step 1. The two points that we have are:

`\begin{gathered} (0,9) \\ (6,0) \end{gathered}`

And we are required to find the slope of the line that passes through these points.

Step 2. We will label the two points as (x1,y1) and (x2,y2):

`\begin{gathered} (0,9)\longrightarrow x_1=0,y_1=9 \\ (6,0)\longrightarrow x_2=6,y_2=0 \end{gathered}`

Step 3. To find the slope, we will use the slope formula:

`\text{slope}=(y_2-y_1)/(x_2-x_1)`

Substituting the known values:

`\text{slope}=(0-9)/(6-0)`

Step 4. Simplify the operations:

`\text{slope}=(-9)/(6)`

Step 5. Simplify the fraction.

Both numbers 9 and 6 can be divided by 3.

9 divided by 3 is equal to 3,

and 6 divided by 3 is equal to 2.

Therefore, the fraction can be simplified as follows:

`\text{slope}=-(3)/(2)`

Answer:

`\text{slope}=-(3)/(2)`