High School

A line contains the points (34, 12) and (32, 48). What is the slope of the line in simplified form?

A. 18
B. 118
C. -18
D. -118

Answer :

Final answer:

The slope of a straight line passing through the points (34, 12) and (32, 48) is -18, calculated by applying the formula for finding the slope of a line.

The corrrect option is C.

Explanation:

The subject of this student's question involves the calculation of the slope of a straight line in mathematics, given two points on the line. The slope (m) is determined using the formula: m = (Y2 - Y1) / (X2 - X1), where (X1, Y1) and (X2, Y2) represent the coordinates of the two points. In this case, the two points are (34, 12) and (32, 48).

Placing these values in our formula, we get: m = (48 - 12) / (32 - 34) = 36 / -2 = -18. Therefore, the slope of the line is -18, which corresponds to option (c).

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