This video explains how to find the equation of a line, given a point and the slope of the line.
There are two ways of solving this.
One way is using the slope-intercept formula, y = mx + b
And the other way is by using the point-slope formula,
Let’s go over finding the equation of a line, given a point and the slope.
We’re going to use the slope intercept formula:
We’re going to solve this in two different ways.
First is the point-slope formula which is
Now, let’s substitute
Now, let’s manipulate this to get the slope intercept form
Now, let’s isolate by adding on both sides.
Or the second way to solve this is to do the slope intercept form directly.
Let’s solve for by substituting the values of and .
Then isolate by adding on both sides
Now let’s write our slope intercept form
which is the same as our first answer.