Question

A line passes through the points (7,10) and (7, 20). Which statement is true about the line?

A) It has a slope of zero because (X₂ - X₁) in the formula m = (y₂ - y₁)/(X₂ - X₁) is zero, and the numerator of a fraction can't be zero.

B) It has an undefined slope because the denominator (X₂ - X₁) in the formula m = (y₂ - y₁)/(X₂ - X₁) is zero.

C) It has a positive slope because the y-coordinates of the two points are increasing.

D) It has a negative slope because the y-coordinates of the two points are decreasing.

Answer 1

The line passing through the points (7,10) and (7, 20) has a slope of zero.

Step-by-step explanation:

The correct statement about the line passing through the points (7,10) and (7, 20) is A) It has a slope of zero.

To find the slope, we use the formula: m = (y2 - y1)/(x2 - x1). In this case, the x-coordinates of the points are the same, which means the denominator (x2 - x1) is zero. Therefore, the slope is undefined.