Question

What is the slope of the line shown in the graph? A) 3/2 B) 2/3 C) -3/4 D) -2/3

Answer 1

we can simply get the slope by using two points off the line, hmmmm say the line passes through (0,3) and (-3,5)

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-3}{-3-0}\implies \cfrac{2}{-3}\implies -\cfrac{2}{3}$

Answer 2

Choose two points

(4,1) and (-3 , 5)

rise/run = 4/6

Simplify - 2/3

Answer = B) 2/3

Hope this helps!!