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2x + 3y = 8
Usually you would solve for y to get the equation in Slope Intercept Form.
(y = mx + b) Where (m) is the slope and (b) is the y intercept of the graph.
First get the y by itself by subtracting 2x and getting it to the side with the 8.
You now have this... 3y = -2x + 8
Now Isolate the variable (y) by dividing by 3.
You now have this... y = - 2/3 + 8/3
Now since you have this in Slope Intercept Form, you know - 2/3 is the slope of the line and 8/3, or 2 2/3, is the y intercept on your graph.
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