Answer:
0.57
Explanation:
The slope of a line is defined as
[tex]\text{slope}=\frac{\text{rise}}{\text{run}}[/tex]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
[tex]\text{rise}=9-5=4[/tex][tex]\text{run}=10-3=7[/tex]therefore, the slope is
[tex]\text{slope}=\frac{\text{rise}}{\text{run}}=\frac{4}{7}[/tex][tex]\text{slope}=\frac{4}{7}[/tex]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
[tex]4\div7=0.571428\ldots[/tex]rounding to the nearest 2 decimals gives
[tex]4\div7=0.57[/tex]Hence,
[tex]\boxed{\text{slope}=0.57}[/tex]which is our answer!
