Graphing Slope-Intercept Equations
As you have seen from examples, you can write linear equations in different ways. There are three main forms of linear equations: slope-intercept, point-slope, and standard. This lecture series introduces the point-slope form. Watch the videos and complete the interactive exercises. This lecture series focuses on graphing linear equations when they are given in slope-intercept form.
Graph from slope-intercept form - Questions
Answers
1. The equation is in slope-intercept form: . In this form, gives us the slope of the line and gives us its -intercept.
So has a slope of and a -intercept at .
We need two points. We already have the -intercept .
We can find a second point by reasoning about the slope. A slope of means when the -value increases by , the -value decreases by .
Now we can graph the equation.
2. The equation is in slope-intercept form: . In this form, gives us the slope of the line and gives us its -intercept.
So has a slope of and a -intercept of .
We need two points. We already have the -intercept .
We can find a second point by reasoning about the slope. A slope of means that when the -value increases by , the -value increases by .Now we can graph the equation.
3. The equation is in slope-intercept form: . In this form, gives us the slope of the line and gives us its -intercept.
So has a slope of and a -intercept at .
We need two points. We already have the -intercept .
We can find a second point by reasoning about the slope. A slope of means that when the -value increases by , the -value decreases by .
Now we can graph the equation.
4. The equation is in slope-intercept form: . In this form, gives us the slope of the line and gives us its -intercept.
So has a slope of and a -intercept at .
We need two points. We already have the -intercept .
We can find a second point by reasoning about the slope. A slope of means that when the -value increases by , the -value increases by .
Now we can graph the equation.