Question 1 options:

a) 1/2
b) -1/2
c) 2
d) -2

choice A) 1/2



Explanation:

The two points (0,-2) and (4,0) are the y and x intercepts of the graph. These two points are on the blue line.

Let (x1,y1) = (0,-2) and (x2,y2) = (4,0)

Which means we have these four pieces of info
x1=0
y1=-2
x2=4
y2=0

Plug them into the slope formula below
m = (y2 - y1)/(x2 - x1)
m = (0 - (-2))/(4 - 0)
m = (0 + 2)/(4 - 0)
m = 2/4
m = 1/2

Which is why the slope is 1/2

Each time we move up 1 unit, we move to the right 2 units
slope = rise/run = 1/2
rise = 1 = go up unit
run = 2 = go to the right 2 units

The answer is option c.