Vocab 1.1-1.2:
Equation- a mathematical sentence stating that two
Open sentence- mathematical sentence containing one or more variables
Solution- each replacement that results in a true sentence (of the open sentence)
Set-builder notation- solution set of an inequality can be expressed by
Infinity - symbols used to indicate that a set is unbounded in the positive or negative direction, respectively
Interval notation- solution set of an inequality
Vocab 1.3:
Rate of change- a ratio that compares how much one quantity changes, on average, relative to the change in another quantity
Slope- the slope of a line is the ratio of the change in the y-coordinates to the corresponding change in the x-coordinates
Vocab 1.4:
Slope-intercept form- equations written in the format of y=mx + b
Point-slope form- the equation of a line is y- y1 = m(x-x1) where (x1,y1) are the coordinates of a point on the line and m is the slope
Parallel- two nonvertical lines are parallel if and only if they have the same slope, all vertical lines are parallel
Perpendicular- two nonvertical are perpendicular if and only if the product of the slopes is -1. Vertical lines and horizontal lines are perpendicular