Which equation represents the line shown on the graph?

A. w = 3z+2

Step-by-step explanation:

The general equation of a line with x and y axis is expressed as:

y = mx+c

Since the x-axis in the diagram is z and y-axis is w, the equation of the line will be represented as:

w = mz+c where:

m is the slope of the line

c is the intercept( the point where the line cuts the y-axis)

m =∆w/∆z

m = w2-w1/z2-z1

From the graph:

m = 8-2/2-0

m = 6/2 = 3

Intercept c = 2 (since the line intersects the y axis at y = 2)

Substituting this values in the equation of the line we have:

w = 3z+2

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