Introduction to Lines, Slopes, and Domains

Vocabulary flashcards covering linear equations, perpendicular slopes, slope-intercept form, interval notation, domain breaking points, and rules regarding complex numbers.

Slope

The component of a line equation that determines whether lines are perpendicular or parallel.

$y$-intercept

The point where a line touches or crosses the $y$-axis, which can be read off directly as the constant number part when the equation is in slope-intercept form.

$x$-intercept

The point where a line touches or crosses the $x$-axis, which always requires substitution and algebra to calculate.

Slope-Intercept Form

The required form of a linear equation used to correctly identify and compare slopes.

Step $1$ in Finding a Perpendicular Line Equation

Figure out the original slope, which usually requires rewriting the given equation into slope-intercept form.

Step $2$ in Finding a Perpendicular Line Equation

Determine the new slope by taking the flip (reciprocal) of the original slope.

Step $3$ in Finding a Perpendicular Line Equation

Use the new slope and the point given in the problem to find the new linear equation.

Interval Notation

A mathematical notation using brackets and parentheses that allows writing a list of numbers while leaving out specific excluded values.

Breaking Points

The specific places or inputs where a function breaks, which must be found and removed from the base domain.

Complex Numbers

A system of numbers that students are not allowed to use or acknowledge in this course, except during one specific week five weeks into the term.