Question

8What is the slope of the line that passes through the points (-2, 5) and (3, 4) in the standard (x,y) plane?

Answer 1

Answer

Slope = -(1/5) = -0.20

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, 5) and (3, 4)

$\text{Slope = }\frac{4-5}{3-(-2)}=\frac{-1}{3+2}=\frac{-1}{5}$

Hope this Helps!!!