Question

What is the slope of the line that passes through the points (2,0) and(32,-5)?

Answer 1

Slope = -(1/6)

Step-by-step explanation

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 (2, 0) and (32, -5)

x₁ = 2

y₁ = 0

x₂ = 32

y₂ = -5

`\text{Slope = }(-5-0)/(32-2)=(-5)/(30)=-(1)/(6)`

Hope this Helps!!!