Linear Function
Definition:
A linear function is a polynomial of degree one. The graph of a linear function is a straight line. The slope of a linear function, m, can be calculated using any two points on the line. The slope is calculated as a fraction with the change in the rise of the line (y2 - y1) divided by the change in the run of the line (x2 - x1).
slope formula .
Formula for a Linear Function:
General Form: Ax + By + C = 0
Slope-Intercept Form: y = mx + b
Point-Slope Form: (y - y1) = m(x - x1)
Two-Point Form:
Linear Function Photos:
Photo Originator: Mr. Lee
Photo Description: This is a picture of the Chapel Bridge in Lucern, Switzerland that I took while on vacation. The roof of this footbridge, originally constructed in 1333, can be modeled by a linear function. I set the origin at the base of the stone tower. Given this somewhat arbitrary origin, the roof of the bridge could be modeled by the function y = 0.25x + 2.
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