Answer: [tex]-\frac{9}{10}[/tex]
Step-by-step explanation:
Just plug these points into the slope formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
A: (3,-1) = [tex](x_{1}, y_{1})[/tex]
B: (-1/3, 2) = [tex](x_{2}, y_{2})[/tex]
Now solve.
[tex]\frac{2- (-1)}{-\frac{1}{3} - 3 }[/tex]
Simplify the numerator by changing the negative and minus to positive: [tex]2 +1[/tex]
This simplifies now to 3.
The denominator needs to be simplified by finding a common denominator.
[tex]-\frac{1}{3} -\frac{3}{1}[/tex]
The 3/1 needs to be multiplied by 3 on the top and bottom to get. [tex]-\frac{1}{3} - \frac{9}{3}[/tex]
Now with a common denominator we can subtract: [tex]-\frac{10}{3}[/tex]
Now we can put our simplified denominator and numerator back together.
[tex]\frac{3}{-\frac{10}{3} }[/tex]
Now KCF, keep change flip.
[tex]\frac{3}{1} *- \frac{3}{10}[/tex]
Now multiply across.
[tex]-\frac{9}{10}[/tex]
This is the final answer as it cannot be simplified any further.
