In this section, we will review rectangular coordinate system, graph the various linear equations and inequalities, and introduce a formula for finding coordinates of the midpoint of a given segment.

Question 6: For each equation, complete the table of values and draw its graph for values of from −1 to 3.

To solve such a system graphically, we will graph both lines on the same set of axis and look for the point of intersection. The point of intersection will be the one ordered pair that works in both equations.

How can you tell from the graph, without calculating, that the aeroplane's average speed from Brussels to Madrid is greater than its average speed from London to Brussels?

The graph of a linear equation in two variables is the set of points (x, y) in a coordinate plane that represents all solutions of the equation. Sometimes the points are distinct, and other times the points …

To find the position of a line or curve, draw up a table of values that satisfy the equation and use these to plot points on a graph. Joining the points gives the line or curve.

Consequently an understanding of linear graphs is an essential requirement for many courses in science, engineering and mathematics. This module deals with linear graphs.

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How to draw a straight-line graph and show a table of values using the TI-Nspire CAS

Vertical Lines Equation: x = a The graph is a line parallel to the y-axis and passes through the x-intercept (a, 0). All the x-coordinates on the line are a. The slope of a vertical line is undefined.