Question

Given below are descriptions of two lines. Line 1: Goes through (14,-123) and (-2,21) Line 2: Goes through (6,-11) and (-4,19) The slope of Line 1 is m= The slope of Line 2 is m= Finally, which of the following is true? O Line 1 is parallel to Line 2. O Line 1 is perpendicular to Line 2 O Line 1 is neither parallel nor perpendicular to Line 2

Answer 1

The slopes of Line 1 and Line 2 are -9 and -3 respectively. Therefore, Line 1 is neither parallel nor perpendicular to Line 2.

Step-by-step explanation:

Slope of Line 1:

To find the slope of a line, you can use the formula:

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

Given the coordinates (14,-123) and (-2,21), we can substitute the values into the formula:

m = (21 - (-123))/(-2 - 14) = 144/-16 = -9

Slope of Line 2:

Using the same formula, we can find the slope of Line 2 using the coordinates (6,-11) and (-4,19):

m = (19 - (-11))/(-4 - 6) = 30/-10 = -3

Comparing the slopes:

Since the slopes of Line 1 and Line 2 are different and not negative reciprocals of each other, Line 1 is neither parallel nor perpendicular to Line 2.

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