For this case we have that by definition, the equation of a line in standard form is given by:

On the other hand, we have that the equation of a line in the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have two points:

We find the slope of the line:

Thus, the equation is of the form:

We substitute one of the points and find "b":

Finally, the equation is:

We convert the equation to the standard form:

ANswer:
