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can you please solve this practice problem for me I need assistance C. -1/2 and D. 1/2

Can You Please Solve This Practice Problem For Me I Need Assistance C 12 And D 12 class=

Sagot :

Slope of a line

Step 1: selecting two points of the graph

We are going to select the points when x = 0 and x = 2.

Observing the graph we see that when x = 0, then y = 1 - (0,1)

when x = 2, then y = 2 - (2, 2)

Now we have two points:

(x₁, y₁) = (0, 1)

(x₂, y₂) = (2, 2)

Step 2: change of variables

We are going to find how much the variables change from point 1 to point 2

Change of x:

Δx = x₂ - x₁ = 2 - 0 = 2

Δx = 2

Change of y:

Δy = y₂ - y₁ = 2 - 1 = 1

Δy = 1

Step 3: slope

The slope, m, is the division of the two found changes:

m = Δy/Δx = 1/2

Answer: D. 1/2

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