Linear equations (sometimes called Linear Functions) are done using the general form y = mx + b
y represents your y-axis value at a certain point
m represents the slope of your line (how steep or how gentle it is)
x represents the x-axis value at the same point as y
b represents the y-axis intercept (where your line crosses the y-axis
Given the example y=3x + 1:
the m (slope) in this case is 3
the b (y-intercept) is +1
x and y will change for each point on this line. Since our 'b' is 1, we know that the point (0,1) is on our line. So, it can be said that
1 = 3(0) + 1 instead of y = mx + b
Working this out, we have 1=1 (which is true).
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Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Linear equations are a small minority of functions.
Most functions are not like linear equations.
No, linear equations don't have x2. Equation with x and y are usually linear equations. Equations with either x2 or y2 (but never both) are usually quadratic equations.