Question

Line v passes through points (3, 2) and (10, 8). Line w is perpendicular to v. What is the slope of line w?

Option 1: 1.5
Option 2: 1.2
Option 3: 0.6
Option 4: 0.8

Answer 1

The slope of line w is -7/6.

Step-by-step explanation:

To find the slope of line w, we first need to find the slope of line v. The slope, or gradient, of a line can be found using the formula:

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

Where (x1, y1) and (x2, y2) are the coordinates of two points on the line. Using the points (3, 2) and (10, 8) as our coordinates, we have:

m = (8 - 2) / (10 - 3)

m = 6 / 7

Therefore, the slope of line v is 6/7. Since line w is perpendicular to line v, the slope of line w is the negative reciprocal of the slope of line v. In other words, the slope of line w is -7/6.