What is the slope of the line that passes through the points left bracket, 4, comma, minus, 6, right bracket(4,−6) and left bracket, minus, 2, comma, 3, right bracket(−2,3)? Write your answer in simplest form.
The formula to find the slope of a line passing through two points is:
m = (y2 - y1) / (x2 - x1)
Using the given points (4, -6) and (-2, 3), we can substitute the values into the formula:
m = (3 - (-6)) / (-2 - 4)
m = (3 + 6) / (-2 - 4)
m = 9 / -6
Simplifying the fraction, we have:
m = -3/2
Therefore, the slope of the line passing through the given points is -3/2.