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in this video were going to look at why the equations for lines on graphs all tend to look like this rather than any of the other ways that we could have written them essentially its just for convenience by always writing the equations in the form of y equals m x plus c theyre all in the same format which makes it easier to quickly compare them and imagine what theyd look like when drawn out on a graph the important things to know about this form are that m is the gradient of the line which remember is a measure of how steep the line is and c is the y-intercept which is the point where the line crosses the y-axis for example if we took this equation y equals 2x plus 3 then m would be 2 because thats the number in front of the x and c would be positive 3. this means that if we had a graph and we wanted to sketch this line we know that it would cross the y-axis here because the y-intercept is 3 so well cross the y-axis at y equals 3. then because our gradient is two we know that f