Week 4 Graphing Test Review - Vocabulary

Vocabulary flashcards covering graphing lines, intercepts, systems, and inequalities from Week 4 Graphing Test Review.

Slope-Intercept Form

The equation y = mx + b, where m is the slope and b is the y-intercept.

Slope

The rate of change of a line; how much y changes per unit change in x; m in y = mx + b.

Y-Intercept

The point where the graph crosses the y-axis; the value b in y = mx + b.

X-Intercept

The point where the graph crosses the x-axis; the x-value where y = 0.

Standard Form

Ax + By = C, a line's equation form with integers A, B, C.

Vertical Line

A line with undefined slope, equation x = k; runs up and down.

Horizontal Line

A line with slope 0, equation y = k; runs left to right.

Intercepts

Points where the line crosses the axes: x-intercept and y-intercept.

System of Linear Equations

Two or more linear equations considered together, with solutions where they intersect.

Substitution Method

Solve one equation for a variable and substitute into the other to find the solution.

Elimination Method

Add or subtract equations (after multiplying) to eliminate a variable and solve.

Linear Inequality

An inequality involving a linear expression in x and y, such as y < mx + b, representing a region.

Boundary Line

The line that forms the border of a linear inequality's solution region; solid for ≤/≥; dashed for < or >.

Shading

The region of the plane that satisfies the inequality; the side of the boundary line that is colored.

Graphing a System of Two Linear Inequalities

Plot both inequalities and shade their regions; the solution is the intersection.

Word Problem with Systems of Inequalities

A real-world scenario modeled by inequalities in two variables whose solution region is shaded.

Slope Interpretation

Understanding the slope as how much y changes when x increases by 1; rise over run and direction.

Y-Intercept Show Your Work

Determining the y-intercept by setting x = 0 and solving for y; documenting steps.

Difference Between Graphing Equations and Inequalities

Equations show a line; inequalities show a region; boundary line style and shading differ (solid/dashed and which side).

Ax + By ≤ C (Standard-Form Inequality)

A common standard-form inequality; the boundary line is Ax + By = C with shading on the appropriate side (≤).

Example Constraint x + y ≤ 460

A total donation constraint where the sum of two amounts does not exceed 460; with x, y ≥ 0.