What is the slope of the line that passes through the points left bracket, minus, 4, comma, minus, 7, right bracket(−4,−7) and left bracket, minus, 2, comma, minus, 19, right bracket(−2,−19)? 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:
slope = (y2 - y1) / (x2 - x1)
In this case, the points are (-4, -7) and (-2, -19). Plugging these values into the formula, we get:
slope = (-19 - (-7)) / (-2 - (-4))
slope = (-19 + 7) / (-2 + 4)
slope = (-12) / (2)
slope = -6
Therefore, the slope of the line passing through these points is -6.