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There are several ways to graph linear equations. The most common methods involve using the slope-intercept form, using the standard form, or by plotting points.
In this lesson, we will learn
The following diagrams show the different methods to graph a linear equation. Scroll down the page for more examples and solutions.
Printable & Online Coordinate Geometry Worksheets
It takes only 2 points to draw a graph of a straight line. In other words, if we can find two points that satisfies the equation of the line, then the line can be accurately drawn. (You may plot more than two points to check)
Example:
Draw the line with equation y = 2x – 3
Solution:
Choose any value for x and substitute into the equation to get the corresponding value for y. If possible, try to choose values of x that will give whole numbers for y to make it easier to plot.
Step 1: Let x = 0
y = 2(0) – 3
y = – 3
Step 2: Let x = 2
y = 2(2) – 3
y = 1
Step 3: Plot the two points on the Cartesian
Step 4: Draw a straight line passing through the two points<br
How to use a t-table to graph linear equations?
Example:
Graph the line for
a) y = 2x - 4
b) y = -1/2 x + 2
How to graph a linear equation by plotting points?
Example:
Graph the line
3x + 6y = 18
If the linear equation is in the standard form \(Ax + By = C\), you can find the x and y-intercepts to graph the line.
How to find intercepts and use intercepts to graph linear equation?
Examples:
How to graph Linear Functions by finding the X-Intercept and Y-Intercept of the Function?
Examples:
This is often the easiest and most intuitive method when the equation is already in or can be easily converted to the slope-intercept form:
\(y = mx + b\), where:
\(m\) is the slope (the rate of change, or rise over run: \(\frac{\text{rise}}{\text{run}}\)
\(b\) is the y-intercept (the point where the line crosses the y-axis, which is the point \((0, b)\)
How to graph an equation given in slope-intercept form?
What is the slope intercept formula and how to graph the equation?
Example:
Graph
a) y = 2x + 3
b) y = -2/3x - 2
How to graph a linear equation given in slope intercept form?
The equation y = mx + b is called the slope-intercept form of a line.
The equation represents a line where
m = slope
b = y-intercept (0, b)
Example:
Identify the slope and y-intercept. Graph.
a) y = -2/3 x + 1
b) y = 5x - 2
c) y = x
d) 3x - 2y = 8
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