Question

What is the slope of a line that is parallel to the Line shown?

Answer 1

Answer:

2/3

Step-by-step explanation:

The slope of a line can be computed as:

$m=\frac{\Delta y}{\Delta x}$

where

$\Delta y = y_2-y_1$ is the increment along the y-direction

$\Delta x = x_2 - x_1$ is the increment along the x-direction

We can choose the following two points to calculate the slope of the line shown:

(0,1) and (3,3)

Therefore, the slope of the line is

$m=\frac{3-1}{3-0}=\frac{2}{3}$

Two lines are said to be parallel if they have same slope: therefore, a line parallel to the one shown should also have slope of 2/3.

Answer 2

Answer:

Slope  =  m = 2/3

Step-by-step explanation:

We have given a figure in which a line is given.

We have to find the slope of the given line.

Let (x₁,y₂) = (3,3) and (x₂,y₂) = (-3,-1)

The formula to find the slope of the line

Slope = m = y₂-y₁/x₂-x₁

Putting given values in above formula, we have

Slope  =  m = -1-3 / -3-3

Slope  =  m = -4 / -6

Slope  =  m = 4/6

Slope  =  m = 2/3 Which is the answer.