The slope of the line that passes through the points, (-3, -5/2) and (3, -8) is: B. -11/12.
The slope of a line that passes through two points on a coordinate plane can be determined by using the slope formula given below:
Slope (m) = change in y /change in x = rise/run = y2 - y1/x2 - x1.
Given the following:
(-3, -5/2) = (x1, y1)
(3, -8) = (x2, y2)
To find the slope of the line that passes through the points given above, substitute the values into y2 - y1/x2 - x1:
Slope (m) = -8 -(-5/2) / 3 - (-3)
Simplify
Slope (m) = -8 + 5/2 / 3 + 3
Slope (m) = -11/2 / 6
Slope (m) = -11/2 × 1/6
Slope (m) = (-11 × 1)/(2 × 6)
Slope (m) = -11/12
Therefore, the slope of the line that passes through the points, (-3, -5/2) and (3, -8) is: B. -11/12.
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