MATH114 Chapter Notes -Tral

• School: University of Alberta
• Department: Mathematics
• Course: MATH114
• Professor: Vincent Bouchard

Document Summary

Given two points p1(x1, y1) and p2(x2, y2) in r2. Y = y2 y1 is called the change in x, or the run is called the change in y, or the rise . If x1 (cid:54)= x2 then the points p1 and p2 form a non-vertical line with slope m = y2 y1 x2 x1. If p1 (cid:54)= p2 but y = 0 then m = 0 and the line is horizontal. If p1 (cid:54)= p2 but x = 0 then the line is vertical, and its slope is unde ned. A vertical line does not represent a function, but it can be expressed as x = a, where a is the x-axis intercept of the line. Typically a non-vertical line in r2 is given by an equation of the form where m is the slope of the line and b is the y-axis intercept. y = mx + b.