SOLUTION: The points (4,2) and (-5,2) determine a unique line. Find the slope of this line.

Algebra ->  Linear-equations -> SOLUTION: The points (4,2) and (-5,2) determine a unique line. Find the slope of this line.      Log On


   



Question 647746: The points (4,2) and (-5,2) determine a unique line. Find the slope of this line.
Answer by Algebraic(50) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of any line can be taken from the formula shown below:
M+=+%28y%5E2-y%5E1%29%2F%28x%5E2-x%5E1%29
M is the slope we will be trying to figure out, and the points (x^1 , y^1) and (x^2 , y^2) will be replaced with the ones given to you.
Look at the points given to you. The first coordinates are (4,2). This represents (x^1, y^1), and (-5,2) represents (x^2, y^2), so let's replace it into the equation.
Step 1: M+=+%28y%5E2-y%5E1%29%2F%28x%5E2-x%5E1%29 Replace the coordinates given to you.
Step 2: M+=+%282-2%29%2F%28-5-4%29
Step 3: Solve within the parenthesis.. M+=+%280%29%2F%28-9%29
Step 4: The slope (M) is 0 (zero) because (0/9) is 0.
Answer: The slope of the line with the points (4,2) and (-5,2) is m = 0