Question

Find the slope, m of the line that passes through the points (3/8, −1/4) and (−5/16, 1/6)

Answer 1

Answer:

$-\frac{20}{33}$

Step-by-step explanation:

We have to use the slope formula: $\frac{y2 - y1}{x2 - x1}$

1/6 is y2, -1/4 is y1, -5/16 is x2, and 3/8 is x1.

$\frac{1/6-(-1/4)}{-5/16-3/8}$

$\frac{1/6+1/4}{-11/16}$

$\frac{5/12}{-11/16}$

Now lets put these fractions in a different form and divide them.

$\frac{5}{12}$ ÷ $-\frac{11}{16}$

$\frac{5}{12}$ × $-\frac{16}{11}$

$\frac{5}{3}$ × $-\frac{4}{11}$ = $-\frac{20}{33}$

$-\frac{20}{33}$ is your answer. I hope this helps! Let me know if I made a mistake or if you have any questions :)