Learn
Linear Equations
Writing Linear Equations
You will learn how to write an equation of a line given certain information: point and slope and two points
Formulas:
Slope intercept form: y = mx + b where m = slope, b = y-intercept
Slope Intercept Form
Given point and slope Our first objective will be to write an equation of line in slope intercept form when we know the slope of the line and one point on that line. Before you learn how to do this algebraically let’s look at how to graph the line with this given information. Graph point first then slope.
Example #1
Finding the Equation Algebraically
As you can see, it is difficult to see exactly where the line crosses the y-axis without doing a little guessing. This will be a time where you will have to find the equation of the line algebraically. Also, you may prefer to do it algebraically because of the time that it can take to graph the equation.
Example #2
Equations Given Two Points
The second objective of this lesson is to write an equation of a line in slope intercept form given two points on the line. Let’s work an example together. The problem is to write the equation of a line that goes through the points (-1, 1) and (1, -3).
Example #3
Open Find the Equation of a Line in Slope-Intercept Form Given Two Points in a new tab
Example #4
Open Find the Equation of a Line in Slope-Intercept Form Given Two Points in a new tab