Which of the linear equations represents the graphed line? a) y = 3 2 x + 1 b) y = 2 3 x + 1 c) y = -2 3 x + 1 d) y = -3 2 x + 1

The linear equation of the graph is y = 2/3 x + 1

Let's find the slope of the graph using the coordinates (0, 1) (-3, -1)

m = y₂ - y₁ / x₂ - x₁

m = -1 - 1  / -3 - 0

m = -2/-3

m = 2/3

Using the slope intercept form,

y = mx + c

where

m =  slope

c = y- intercept(This is when x = 0)

Therefore,

c = 1

Finally, the equation will be

y = 2/3 x + 1

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(choice B)

The y intercept is 1 as this is where the graph crosses the y axis. So b = 1

The slope is m = 2/3 because we go up 2 for each time we move 3 units to the right. Example: moving from (0,1) to (3,3)

That means y = mx+b turns into

This looks like choice B is the closest match though the formatting you posted is a bit jumbled.

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step-by-step explanation: