Question

I'm stuck on my homework and I don't know what to do they never taught me this so basically I have to find the slope of the line that passes through each pair of points and I need the answers

Answer 1

Given two points (x1, y1) and (x2, y2) the slope (m) is computed as follows:

$m\text{ = }\frac{y_2-y_1}{x_2-x_1}$

1. Replacing with points A(-2, -4), B(2, 4), we get:

$m=\frac{4-(-4)}{2-(-2)}=\frac{8}{4}=2$

4. Replacing with points G(-3, -1), H(-2, -2), we get:

$m=\frac{-2-(-1)}{-2-(-3)}=\frac{-1}{1}=-1$

7. Replacing with points O(1, -3), P(2, 5), we get:

$m=\frac{5-(-3)}{2-1}=\frac{8}{1}=8$

10. Replacing with points U(1, 3), V(1, 5), we get:

$m=\frac{5-3}{1-1}=\frac{2}{0}=\text{ undefined slope}$

13. Replacing with points A(2, -1), B(-4, -4), we get:

$m=\frac{-4-(-1)}{-4-2}=\frac{-3}{-6}=\frac{1}{2}$