What is the slope of the line that passes through the points left bracket, minus, 9, comma, 0, right bracket(−9,0) and left bracket, minus, 17, comma, 4, right bracket(−17,4)? Write your answer in simplest form.
The slope of a line passing through two points (x_1, y_1) and (x_2, y_2) can be calculated using the formula (y_2 - y_1)/(x_2 - x_1).
In this case, the points are (-9, 0) and (-17, 4).
So, the slope is (4 - 0)/(-17 - (-9)) = 4/(-17 + 9) = 4/(-8) = -1/2.
Therefore, the slope of the line passing through the points (-9, 0) and (-17, 4) is -1/2.