Find the slope?

Question

a.through     (-2,1),(3,-2)

 

 

b.through (0,-2),(5,-1)

Answer 1

Hi Juliana, 

If we are given (x₁,y₁) and (x₂,y₂) we know that the slope=(y₂-y₁)/(x₂-x₁). 

We can apply this concept to the following questions: 

Part One: (-2,1),(3,-2) 

                (x₁,y₁),(x₂,y₂)

slope= (-2-1)/(3+2)

slope=-3/5

Part Two: (0,-2),(5,-1)

                (x₁,y₁),(x₂,y₂)

slope=(-1+2)/(5-0)

slope=1/5

∴The slope for (-2,1),(3,-2) is -3/5 and the slope for (0,-2),(5,-1) is 1/5.

Best, 

Star

Answer 2

Recall the slope formula: m = (y₂ - y₁) / (x₂ - x₁)

 

(a) m = (-2 - 1) / (3 - -2) = -3/5

 

(b) m = (-1 - -2) / (5 - 0) = 1/5