P is the point (2,k)
PA = PB
PA = √(49 + (2-k)²) and PB = √(1 + (6 - k)²)
√(49 + (2-k)²) = √(1 + (6 - k)²) => (49 + (2-k)² = (1 + (6 - k)²
=> 49 + 4 - 4k + k² = 1 + 36 - 12k + k² => 8k = 37 - 53 = -16 => k = -2

5 0

3 years ago

Slope of a parallel line with the points (7,-5) and (-5,7)

VLD [36.1K]

Answer: Negative 1 The slope of parallel lines is the same.

The attachment shows two such lines, given coordinates labeled.

Step-by-step explanation:

Find the slope of the line passing through the given points.

rise/run

Rise is the difference in y-values 7-(-5) = 12

Run is the difference between x-values -5 - 7 = - 12

The Slope is 12/-12 simplify:

slope = -1

5 0

3 years ago