Question

What is the slope of this line?

A. 3
B. -1/3
C. -3
D. -2
E. 4

Answer 1

-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

Answer 2

C. -3

Step-by-step 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 =
`(Vertical distance)/(horizontal displacement)`

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

Slope =
`(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 =
`(-2 - 4)/(2 - (0))` =
`(-6)/(2)`

Slope = -3

The slope of the line is -3