What is the slope of the line that passes through the points left bracket, minus, 2, comma, 6, right bracket(−2,6) and left bracket, minus, 12, comma, 2, right bracket(−12,2)? Write your answer in simplest form.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Using the given points (-2,6) and (-12,2), we can plug these values into the formula:
m = (2 - 6) / (-12 - (-2))
m = (-4) / (-10)
m = 4/10
m = 2/5
Therefore, the slope of the line passing through the two points is 2/5.