Question

please help all i need is the slope in case the points are hard to see here they are problem 1. (-2,2) (3,-3) problem 2. (-5,1) (4,-2) problem 3. (-1,5) (2,-4)

Answer 1

Answer: 1. $-\dfrac{5}{6}$  2. $-\dfrac{1}{3}$ . 3. $-3$

Step-by-step explanation:

Formula: Slope$=\dfrac{y_2-y_1}{x_2-x_1}$

1. (-2,2) (3,-3)

Slope $=\dfrac{-3-2}{3-(-2)}$

$=\dfrac{-5}{3+2}\\\\=\dfrac{-5}{6}$

Hence, slope of line passing through  (-2,2) (3,-3) is $-\dfrac{5}{6}$ .

2. (-5,1) (4,-2)

Slope $=\dfrac{-2-1}{4-(-5)}$

$=\dfrac{-3}{4+5}\\\\=\dfrac{-3}{9}\\\\=-\dfrac{1}{3}$

Hence, slope of line passing through  (-2,2) and (3,-3) is $-\dfrac{1}{3}$ .

3. (-1,5) (2,-4)

Slope $=\dfrac{-4-5}{2-(-1)}$

$=\dfrac{-9}{2+1}\\\\=\dfrac{-9}{3}\\\\=-3$

Hence, slope of line passing through (-1,5) and (2,-4) is -3.