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A linear equation is any equation in the form y = mx+b. It can be drawn on a graph as a straight line.

where:

"y" represents the y-axis

"x" represents the x-axis

"m" is the slope of the line

"b" is the y-intercept

So, y = x is a linear equation with a slope of 1 and a y-intercept of 0. This graph passes through the points (0,0) (1,1) ...

If you change the equation to y = x+2 then the slope is still 1 but the y-intercept is 2.

If you change the equation to y = 2x then the slope is now 2 and the y-intercept is 0.