Question

Find the slope of the line that is parallel to the line that passes through the following pair of points: (4, -2) and (16,0)

Answer 1

Slope = (1/6) = 0.1667

Step-by-step explanation

Twol parallel lines normally have their slopes equal to each other.

So, to find the required slope, we can just find the slope of the line that is parallel to it.

For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

`Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=(y_2-y_1)/(x_2-x_1)`

For this question,

(x₁, y₁) and (x₂, y₂) are (4, -2) and (16, 0)

x₁ = 4

y₁ = -2

x₂ = 16

y₂ = 0

`\text{Slope = }(0-(-2))/(16-4)=(0+2)/(12)=(2)/(12)=(1)/(6)=0.1667`

Hope this Helps!!!