What is the slop intercept form of a line that passes threw (4,-4) and (8, -10)

For this case we have that by definition, the equation of a line of 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 through which the line passes, so we can find the slope:

Thus, the equation is of the form:

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

Finally, the equation is of the form: