Question

Find the slopes of the lines passing through the given points.
(1) A (2, 3) , B (4, 7)
(2) P (–3, 1) , Q (5, –2)
(3) C (5, –2) , ∆ (7, 3)
(4) L (–2, –3) , M (–6, –8)
(5) E(–4, –2) , F (6, 3)
(6) T (0, –3) , S (0, 4)

Answer 1

(1) A (2, 3) , B (4, 7)
Slope = $\frac{y_2-y_1}{x_2-x_1}=\frac{7-3}{4-2}=\frac{4}{2}=2$

(2) P (–3, 1) , Q (5, –2)
Slope = $\frac{y_2-y_1}{x_2-x_1}=\frac{-2-1}{5-\left(-3\right)}=\frac{-3}{8}$

(3) C (5, –2) , ∆ (7, 3)
Slope = $\frac{y_2-y_1}{x_2-x_1}=\frac{3-\left(-2\right)}{7-5}=\frac{5}{2}$

(4) L (–2, –3) , M (–6, –8)
Slope = $\frac{y_2-y_1}{x_2-x_1}=\frac{-8-\left(-3\right)}{-6-\left(-2\right)}=\frac{-5}{-4}=\frac{5}{4}$

(5) E(–4, –2) , F (6, 3)
Slope = $\frac{y_2-y_1}{x_2-x_1}=\frac{3-\left(-2\right)}{6-\left(-4\right)}=\frac{5}{10}=\frac{1}{2}$

(6) T (0, –3) , S (0, 4)
Slope = $\frac{y_2-y_1}{x_2-x_1}=\frac{4-\left(-3\right)}{0-0}=\frac{7}{0}=\mathrm{slope}\mathrm{not}\mathrm{defined}$