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Answer:
y = 3x + 2
Step-by-step explanation:
So we can use the point-slope equation to help us figure out our y = mx +b equation
First we need to choose two points on the graph so we can calculate our slope
I personally like to choose point that intersects two numbers perfectly on the line rather than a point that is maybe half way between two numbers
So we can use the point (0,2) and the point (2,8)
Our (0,2) will represent (x₁, y₁) and our (2,8) will represent (x₂,y₂)
The equation to find the slope is , so plugging in our values, we get
We have found our slope, 3, and now we can use the point-slope equation: y - y₁ = m(x - x₁) to figure out the remainder of the equation.
Plugging in our values we get: y - (2) = (3)(x - (0)) which simplifies to y - 2 = 3x which then simplifies to y = 3x + 2