Question

find slope of the line passing through the follwing points
A. 2, 2 and 3, 1
A. A vertical line?

B. -3, -2 and -3, 2
B. A horizontal line?

Answer 1

A. To find the slope of the line passing through the points (2, 2) and (3, 1), we can use the formula: slope = (change in y)/(change in x).

Let's call the coordinates of the first point (x1, y1) and the coordinates of the second point (x2, y2).

For point A, we have:
x1 = 2, y1 = 2
x2 = 3, y2 = 1

Substituting these values into the formula, we get:
slope = (1 - 2)/(3 - 2) = -1/1 = -1

Therefore, the slope of the line passing through the points (2, 2) and (3, 1) is -1.

A. No, the slope of the line passing through the points (2, 2) and (3, 1) is not zero. A horizontal line would have a slope of zero.

B. To find the slope of the line passing through the points (-3, -2) and (-3, 2), we can use the same formula: slope = (change in y)/(change in x).

For point B, we have:
x1 = -3, y1 = -2
x2 = -3, y2 = 2

Substituting these values into the formula, we get:
slope = (2 - (-2))/(-3 - (-3)) = 4/0

As we can see, the denominator is zero. Division by zero is undefined in mathematics.

Therefore, the line passing through the points (-3, -2) and (-3, 2) is a vertical line. A vertical line has undefined slope.

B. Yes, the line passing through the points (-3, -2) and (-3, 2) is a vertical line, which means it has an undefined slope.