Question

What is the Slope of the line through (1,9) and (-3,16)

Answer 1

Answer:

$\huge\boxed{-\frac{7}{4}}$

Step-by-step explanation:

Slope formula

$\displaystyle \frac{y_2-y_1}{x_2-x_1}$

$\displaystyle\frac{16-9}{(-3)-1}=\frac{7}{-4}=-\frac{7}{4}$

Therefore, the slope is $\displaystyle -\frac{7}{4}$, $\displaystyle -\frac{7}{4}$ is the correct answer.

Answer 2

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-9}{-3-1}\implies \cfrac{7}{-4}\implies -\cfrac{7}{4}$