The slope of the line passing through the points (-3, 8) and (2, -4) is calculated correctly as -12/5 by subtracting and dividing the corresponding y and x values of the two points. The student's mistake is not correctly calculating the slope of the line. The correct slope is -2.4.
The student is seeking help to find the slope of the line passing through the points (-3, 8) and (2, -4). To calculate the slope, we use the slope formula, which is (change in y) / (change in x), often written as (y2 - y1) / (x2 - x1). Let's correct any mistakes and find the true slope. The student's mistake here is that they did not correctly calculate the slope of the line that passes through the points (-3, 8) and (2, -4). To find the slope, we use the formula:
slope = (change in y) / (change in x)
Let's calculate the slope step-by-step:
- Identify the coordinates of the two points: A(-3, 8) and B(2, -4).
- Calculate the change in y: (-4 - 8) = -12.
- Calculate the change in x: (2 - (-3)) = 5.
- Substitute the values into the formula: slope = -12 / 5 = -2.4.
So, the correct slope of the line passing through the given points is -2.4.