What is the slope of the line that passes through the points left bracket, 2, comma, minus, 6, right bracket(2,−6) and left bracket, 6, comma, minus, 12, right bracket(6,−12)? Write your answer in simplest form.
Answer
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
Using the given points (2,-6) and (6,-12), we can substitute the values into the formula:
slope = (-12 - (-6)) / (6 - 2)
= (-12 + 6) / 4
= -6 / 4
= -3/2
Therefore, the slope of the line passing through the given points is -3/2.