Maths - samantha, Wednesday, October 10, 2007 at 3:24pm
how do you graph linear equations?
use the form
y= mx + b
b is the y-intercept
m is the slope ---> rise/ run
also plotting a couple of points help if you are not sure how to go about it--> put in values of x into the equation to get corresponing y values-- giving you points on the line
Samantha can write 1 1/2 pages in 3 minutes. How many pages could she write in 12 minutes?
To graph a linear equation, you can follow these steps:
1. Start by understanding the standard form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.
2. Identify the slope (m) and y-intercept (b) from the given equation. The slope represents the rate of change of the line, while the y-intercept is the point where the line intersects the y-axis.
3. Plot the y-intercept on the coordinate plane. For example, if the y-intercept is (0, b), mark a point at (0, b) on the graph.
4. Use the slope to find additional points on the line. The slope represents how much the y-value changes for each unit change in x. You can use this property to find more points on the line. For example, if the slope is 2, it means that for every 1 unit increase in x, the corresponding y-value increases by 2. So, starting from the y-intercept, you can move 1 unit to the right and 2 units up to find another point on the line.
5. Plot the additional points on the graph.
6. Connect the points with a straight line. The line should pass through all the plotted points, indicating the graph of the linear equation.
Remember, linear equations are represented as straight lines in the coordinate plane. So, by identifying the slope and y-intercept, finding additional points using the slope, and connecting those points, you can accurately graph a linear equation.