What is the slope of the line that passes through the points left bracket, minus, 2, comma, 9, right bracket(−2,9) and left bracket, 8, comma, 34, right bracket(8,34)? 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 coordinates (-2,9) and (8,34), we can plug in the values into the formula:
m = (34 - 9) / (8 - (-2))
m = 25 / 10
m = 5/2
Therefore, the slope of the line is 5/2.