Question

The graph of a straight line contains two points, A and B. At point A on the line, x equals 3 and y equals 5. At point B on the line, x equals 10 and y equals 9. What is the slope of this line? (Round your answer to 2 decimal places.)

Answer 1

0.57

Step-by-step explanation:

The slope of a line is defined as

`\text{slope}=\frac{\text{rise}}{\text{run}}`

Now the rise is the difference in the y-coordinates between two points and the run is the difference in the x-coordinates.

The two points we are given are

From the sketch above we see that

`\text{rise}=9-5=4`
`\text{run}=10-3=7`

therefore, the slope is

`\text{slope}=\frac{\text{rise}}{\text{run}}=(4)/(7)`
`\text{slope}=(4)/(7)`

Which is our answer!

But we are asked to give the answer in a decimal form rounded to two decimal places.

Therefore, we divide 4 by 7 and get

`4/7=0.571428\ldots`

rounding to the nearest 2 decimals gives

`4/7=0.57`

Hence,

`\boxed{\text{slope}=0.57}`

which is our answer!