Find the slope of a line given two points on the line To obtain a formal definition of the slope of a line, we designate two different points on…
Month: June 2014
Recognize equations of horizontal and vertical lines.
Recognize equations of horizontal and vertical lines. A graph can fail to have an x-intercept or a y-intercept, which is why the phrase “if any” was added when discussing…
Find x- and y-intercepts
Find x– and y-intercepts A straight line is determined if any two different points on the line are known, so finding two different points is enough to graph the…
Linear Equation in Two Variables
Linear Equation in Two Variables A linear equation in two variables can be written in the form Ax + By = C, where A, B, and C are real…
Graph lines
Graph lines The graph of an equation is the set of points corresponding to all ordered pairs that satisfy the equation. It gives a “picture” of the equation. Most…
Find ordered pairs that satisfy a given equation.
Find ordered pairs that satisfy a given equation. Each solution to an equation with two variables, such as 2x + 3y = 6, will include two numbers, one for…
Plot ordered pairs
Plot ordered pairs Each of the pairs of numbers (3, 1), (25, 6), and (4, 21) is an example of an ordered pair; that is, a pair of numbers written…
Solving │ax + b│ = │cx + d│
Solving │ax + b│ = │cx + d│ To solve an absolute value equation of the form │ax + b│ = │cx + d│, Solve the compound equation ax +…
Solving Absolute Value Equations and Inequalities
Solving Absolute Value Equations and Inequalities Let k be a positive real number, and p and q be real numbers. 1. To solve │ ax + b│=k, solve…
Solving a Compound Inequality with or
Solving a Compound Inequality with or Step 1:- Solve each inequality in the compound inequality individually. Step 2:- Since the inequalities are joined with or, the solution set…
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