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y=5x+3 is the equation of a line. The equation is in what is called slope intercept form.

The line hits the y axis at the point (0,3). From there you can go up 5 and to the right 1 to find another point. Or you can go down 5 and to the left 1.

No matter how you do it, you end up with a line with 5 intercept 5 and a positive slope.

The positive slope means it goes up from left to right.

Now you may ask what are the solutions to the equation? I understand the graph is a line, but I want to know which x and y "works."

Every point on the line is a solution. There is an infinite number of them since the line goes forever in both directions.

Finding them is not hard. You can pick any x you want and plug it in to the equation.

Say you pick x=1, then you have y=5(1)+3=8 so y is 8.

Many people make what is called a T table. They put values of x on the left and y values on the right.

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