Linear Equation Examples Non Linear Equation Examples When linear equations are written, the following are These are NOT linear equations: true of the x-coordinates and y-coordinates: Example Reason x and y both have exponents of 1, 2+4 no variable Exponent of x > 1 x and y are not multiplied together, x and y multiplied together x and y do not appear in denominators, exponents or radicands. C3 x in the denominator 21-8 y in the exponent y = 5 y in a square root Identify linear equations Tell whether each function is linear or not: Yes No 14 = 2Vx y+2 -3x - 9 28 y X Identify linear equations from a set of points Identify whether each set of points represents a linear function. Use the table to reorganize the data, and use arrows to show growth over intervals. { (1, 0), (2, 3), (3, 10), (4, 21) } (3, 5), (5, 4), (7, 3), (9. 2) } Linear functions grow by equal differences over equal intervals. Linear Function Linear Function Not a Linear Function Not a Linear Function