Question

Given the points (4,-3) and (-4,2)
A.) find the slope of the line that passes through these two points.

B.) find the distance between these two points.

Answer 1

Given points \((x_1, y_1)\) and \((x_2, y_2)\), the slope can be found by getting rise over run, and the distance using the distance formula (which comes from the Pythagorean theorem:
\[
\begin{align}
m &= \frac{y_2-y_1}{x_2-x_1}\\
d &= \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2}
\end{align}
\]

Answer 2

Can you figure out the answer from that?

Answer 3

i think i can

Answer 4

Awesome.