linear functions (algebra)

linear functions: has the form of f(x) = ax + b  (a & b are constants)

constant functions: has the form y = c  (c is a real number)

identity functions: has the form y = x (a linear function where the slope (m) (or (a) ) = 1 & the y-intercept (b) = 0)

slope of a line: “rise over run” m = (y2 – y1) ÷ (x– x1)

slope-intercept form: y = mx + b (where m is the slope & b is the y-intercept)

rate of change: equals the slope of the function, if it is linear

two lines are parallel if they have the same slope

two (nonvertical & nonhorizontal) lines are perpendicular if their slopes are negative reciprocals of each other

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