Answer:
[tex]\frac{5,805}{2812}[/tex]
Step-by-step explanation:
To find the slope from two points you can use the following formula:
[tex]m = \frac{y -y_{1} }{x -x_{1} }[/tex]
Now substitute the two sets of points [tex](\frac{7}{20}, \frac{5}{19} ) and (\frac{5}{9}, \frac{11}{16})[/tex]
Substitute the values like this:
[tex]y = \frac{5}{19}, y_{1} = \frac{11}{16}, x = \frac{7}{20}[/tex] and [tex] x_{1} =\frac{5}{9}[/tex]
Now you will need to simplify the following expression:
[tex]m = \frac{\frac{5}{19} -\frac{11}{16} }{\frac{7}{20}-\frac{5}{9} }[/tex]
Make sure that denominators are the same before substracting:
[tex]m = \frac{\frac{-129}{304} }{\frac{-37}{180} }[/tex]
when you divide with a fractional number you only need to flip the second fraction over (find its reciprocal). Then just multiply:
[tex]m = (\frac{-129}{304} })({\frac{-180}{37} } ) = \frac{5805}{2812}[/tex]
