What is the equation of the line connecting (4,8) and (7,-2)?

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:

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