Question

What is the slope of this line? A. 3 B. -1/3 C. -3 D. -2 E. 4

Answer 1

Answer:

C. -3

Explanation:

Given problem;

 To solve for the slope of the line;

The slope of a line is the vertical distance to the horizontal displacement on a line.

  Slope  = $\frac{Vertical distance}{horizontal displacement}$

For lines such as this, we use the formula below;

                        Slope  = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

To find the slope reference the image attached;

     point 1 (0,4)      x₁  = 0   y₁  = 4

     point 2 (2,-2)    x₂  = 2   y₂  = -2

Now input the parameters and solve;

          Slope  = $\frac{-2 - 4}{2 - (0)}$   =    $\frac{-6}{2}$  

          Slope  = -3

   

The slope of the line is -3

Answer 2

Answer:

-3

Step-by-step explanation:

Pick two points on the graph, lets go with (0, 4) and (1, 1)

y = mx + b

m is the slope and to figure it out use below formula

m = (y₂ - y₁) / (x₂ - x₁)

  = (1 - 4) / (1 - 0)

  = -3 / 1

  = -3