Question

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

Answer 1

Answer

Slope = -(1/6)

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

$Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}$

For this question,

(x₁, y₁) and (x₂, y₂) are (2, 0) and (32, -5)

x₁ = 2

y₁ = 0

x₂ = 32

y₂ = -5

$\text{Slope = }\frac{-5-0}{32-2}=\frac{-5}{30}=-\frac{1}{6}$

Hope this Helps!!!