Here are the essential concepts you must grasp in order to answer the question correctly.
Linear Equations
A linear equation is an algebraic expression that represents a straight line when graphed on a coordinate plane. It typically takes the form y = mx + b, where m is the slope and b is the y-intercept. In the given equation y = x - 2, the slope is 1 and the y-intercept is -2, indicating that the line rises one unit for every unit it moves to the right.
Recommended video:
Categorizing Linear Equations
Graphing Points
Graphing points involves plotting specific coordinates on a Cartesian plane, where each point is defined by an x-value and a corresponding y-value. For the equation y = x - 2, you can calculate y for each given x value (-3, -2, -1, 0, 1, 2, 3) to find the corresponding points, which can then be plotted to visualize the linear relationship.
Recommended video:
Graphing Equations of Two Variables by Plotting Points
Slope-Intercept Form
The slope-intercept form of a linear equation is a way to express the equation of a line as y = mx + b, where m represents the slope and b represents the y-intercept. This form is particularly useful for quickly identifying the slope and y-intercept, allowing for easy graphing. In the equation y = x - 2, the slope is 1, indicating a 45-degree angle, and the line crosses the y-axis at -2.
Recommended video: