Question

What is the slope of this line?

23
13
−13
−23

Answer 1

Points

(0, -3) and (-3, -5)

(y - yo) = m.(x - xo)

(-5 - (-3)) = m.(-3 - 0)

(-5 + 3) = -3m

-2 = -3m

m = -2/-3

m = 2/3

Answer 2

Check the picture below.

$\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{9}-\underset{x_1}{(-3)}}}\implies \cfrac{3+5}{9+3}\implies \cfrac{8}{12}\implies \cfrac{2}{3}$