MATH 1200 Lecture Notes - Lecture 1: Pythagorean Theorem, Constant Function, Square Root

• School: NSU
• Department: Mathematics
• Course: MATH 1200
• Professor: Samansky Eric

Document Summary

Rectangular coordinate system is formed by using real number lines intersecting at right angles. An ordered pair (a,b) is the solution of an equation if the equation is true. The set of all points that are solution of the equation. Finding the intercepts: to find the x-intercepts, let y be zero and solve the equation for x, to find the y-intercepts, let x be zero and solve the equation for y. Standard form of an equation of a circle (x-h)^2+(y-k)^2=r^2. The slope-intercept form of a linear equation y=mx+b. The equation for the slope of a line passing through two points m= (y_(2 )- y_1)/(x_2-x_1 ) Point-slope form of a linear equation y- y_1=m(x- x_1) Parallel and perpendicular lines: two distinct nonvertical lines are parallel if and only if their slopes are equal. That is m1 = m2: two nonvertical lines are perpendicular if and only if their slopes are negative reciprocals of each other.