Question 647746
The slope of any line can be taken from the formula shown below:

{{{M = (y^2-y^1)/(x^2-x^1)}}}

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 = (y^2-y^1)/(x^2-x^1)}}} Replace the coordinates given to you.

Step 2: {{{M = (2-2)/(-5-4)}}}

Step 3: Solve within the parenthesis.. {{{M = (0)/(-9)}}}

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