Answer:
Step-by-step explanation:
Linear equations will always be in the form , where m is the slope and b is the y-intercept
Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.
Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x (), so we can use the two points given to us to find both changes.
The y value goes from 1 to 17, which is a change.
The x value goes from 2 to 6, which is a change.
Now that we know both changes, we can divide the change in y by the change in x.
Now that we know the slope (4), we can plug it into our equation ().
Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).
Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.
Hope this helped!