Algebra Chapter 4 Check Flashcards

Linear Functions and Equations

• A linear function presents a graph that forms a straight line, depicting a constant rate of change.
• Linear equations can be expressed in the standard form (Ax + By = C), where A, B, and C are constants.

Intercepts

• The x-intercept is where the graph meets the x-axis, characterized by a y-coordinate of 0.
• The y-intercept occurs where the graph intersects the y-axis, noted by an x-coordinate of 0.

Change and Slope

• The rate of change measures the variation in the dependent variable against the independent variable, providing insights into relationships between them.
• Rise is defined as the difference in the y-values between two points on a line, indicating vertical change.
• Run represents the difference in the x-values of two points on a line, reflecting horizontal change.
• Slope is calculated as the ratio of rise to run, representing the steepness and direction of the line.

Variations

• Direct variation occurs when there is a linear relationship expressed in the form (y = kx), indicating that y changes directly with x.
• The constant of variation (k) in the equation (y = kx) is a nonzero constant that represents the proportional relationship between y and x.