Learn about the equation of a line.
Equation of a Line (Slope-Intercept Form)
where m = slope and b = y-intercept.
To find the slope, use the slope formula:
In this lesson, we’ll review the equation of a line and go over the slope-intercept form which is the most common equation of a line.
It’s called slope-intercept form for a very specific reason.
When we look at the equation, we will know what our slope is and its intercept.
Intercept is where a line segment intersects the axis. The -intercept is the point where the line segment crosses or touches the -axis.
Slope-intercept form is
Where slope and -intercept
Our formula for slope is
Let’s look at the graph.
Then count the change in and from the origin with coordinates.
So we have
Now, let’s refer back to the graph and look where the line intersects the -axis. Meaning, find the point where the line meets the – axis and where the -axis is .
Now, our -interecept is .
So now .
Now, we’re ready to write the slope-intercept form.
Substitute the given and we have
So our slope-interecept form is
Again, the slope-intercept form is
Where slope and -intercept.