1. what is the slope of the line in the graph shown below?
2. fine the slope that passes through (-2, -3) and (1, 1).
a. 1/3
b. 1
c. 2
d. 4/3
3. for the equation -4y=8x, what is the constant of variation?
a. -4
b. -2
c. 1
d. 2

1). Slope of line = -2.

2). Option D is correct.i.e.,

3). Option B is correct.i.e., constant of variation is -2.

Step-by-step explanation:

1).

Given: A line and its two points in graph

To find: Slope of line in graph

Formula used to find Slope from two points is given by,

Points are ( 0 , 3 ) , ( 1 , 1 )

Therefore, Slope of line = -2.

2).

Given: Points ( -2 , -3 ) & ( 1 , 1 )

To find: Slope of line which passes through given points.

We again use formula of Slope from two points,

Therefore Option D is correct.i.e.,

3).

Given: equation , -4y = 8 x

To find: Constant of variation

The constant of variation is the relationship between variables that does not changes

Consider,

-4y = 8x

Transpose -4 to RHS

y = -2x

So, if we put any value of x we get value of y which is -2 times value of x.

⇒ Constant of variation is -2

Therefore, Option B is correct.i.e., constant of variation is -2.