MATH-UA 120 Lecture Notes - Lecture 4: Bisection
Document Summary
When plotting points start at the origin (0,0) and find the x-coordinate, then the y-coordinate. Ex: (3,2) 3 units to the right and 2 units up. Slope- change in y over change in x. Ex: the points (3,0) and (1,6) both lie on the same line. 6-0 (change in y) = 6 = -3. 1-3 (change in x) -2 y- intercept- the point at which a line intersects the y-axis. X- intercept- the point at which a line intersects the x-axis. Y=mx+b , where m= slope and b= y-intercept. Point slope m(x-x1)= y-y1, where m= slope and x1 and y1 is a known point on the line. If one line has a slope of m=2, then the slope of the perpendicular line would be m=-1/2. In order to determine if a point lies on a line you can simply plug in the x and y values of that point into the equation of the line.
