Question

Determine the slope of the line that passes through them. The points are (-10,-3) and (-5,1) , (-2,-7) and (-8,-4) , (4,0) and (-2,10). What is the slope of the line passing through these points?

Answer 1

The slope of a line is calculated using the formula (y2 - y1) / (x2 - x1). For the given pairs of points, the slopes are 0.8, -0.5, and -1.67 respectively.

Step-by-step explanation:

To find the slope of a line passing through two points, you can use the formula:

slope (m) = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

1. For the first set of points (-10,-3) and (-5,1), the slope calculation would be:
2. m = (1 - (-3)) / (-5 - (-10)) = 4 / 5 = 0.8
3. For the second set (-2,-7) and (-8,-4), the slope calculation would be:
4. m = (-4 - (-7)) / (-8 - (-2)) = 3 / -6 = -0.5
5. For the third set (4,0) and (-2,10), the slope calculation would be:
6. m = (10 - 0) / (-2 - 4) = 10 / -6 = -5/3 or approximately -1.67

Therefore, the slopes of the lines passing through the given points are 0.8, -0.5, and -1.67 respectively.