SOLUTION: What is the equation of the line that contains the points with (x, y) coordinates (-3, 7) and (5, -1)? I know the answer is: y=-x+4, but I don't understand how they came up with

Algebra ->  Linear-equations -> SOLUTION: What is the equation of the line that contains the points with (x, y) coordinates (-3, 7) and (5, -1)? I know the answer is: y=-x+4, but I don't understand how they came up with      Log On


   



Question 9428: What is the equation of the line that contains the points with (x, y) coordinates (-3, 7) and (5, -1)?
I know the answer is: y=-x+4, but I don't understand how they came up with that answer, can you please help???

Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
Equation of a line when you have two points (X1,Y1) and (X2,Y2) is
y-Y1 = {(Y2-Y1)/(X2-X1)}(X2-X1)
You will notice that both points satisfy the equation which means that the points lie on the line otherwise they wouldnt satisfy the equation.