How can we use the concept:
We can describe a linear graph using several different methods. We can create a table of values (x,y) that lie on the line; we can find the graph using the slope-intercept form of a line, or we can use the standard form of the equation of the line.
Given a relationship, either in y=kx or y=mx+b, we can create a table of values we choose for x to find the y value of the coordinate that is on the line that we want to graph.
If we have the slope of a line and any one point, we can create the graph by plotting the point and using the slope.
to determine the next point. In equation form, this is:
To make a linear graph without knowing the slope beforehand, only two points are necessary. We can use those points to find the slope of the line:
This gives enough information to find the equation for the graph.
Sample Math Problems
1. Graph y=-2.5x using a table of values.
Solution:
After finding these points, connect them with a line.
2. Graph y=3x-2 using a table of values
Solution:
After finding the y-coordinate of each pair, they can be used to graph the line y = 3x -2
3. Given the point (6,5) and m = graph the line.
