Question

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

Answer options: 2/3, 3/2, -3/2, -2/3

Answer 1

Slope = m = 2/3

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.

Answer 2

2/3

Explanation:

The slope of a line can be computed as:

`m=(\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=(3-1)/(3-0)=(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.