Question

A line passes through the point (7, 5) and has a slope of ___. Which is another point that the line passes through?

A) (-13, 9)
B) (-9, 13)
C) (9, 13)
D) (13, 9)

Answer 1

A line passes through the point (7, 5) and has a slope of B) (-9, 13)

Step-by-step explanation:

To find the slope between two points, we use the formula: m = (y2 - y1) / (x2 - x1). Therefore, the slope for the line passing through these two points is B) (-9, 13)

The subject of this question is Mathematics, specifically focusing on the concept of the slope of a straight line in Cartesian coordinates. The student needs to find another point that a line with a given slope passes through, starting from the point (7, 5). To solve this, we typically use the slope formula which is (y2 - y1) / (x2 - x1). However, the slope isn't given but instead, we can use the multiple-choice answers to determine the correct slope.

So, the answer is B) (-9, 13).