Question

Is the line that contains the points P_(1)(4,-1) and P_(2)(2,11) parallel to the line that contains the points Q_(1)(-5,-4) and Q_(2)(-7,8) ?

a. yes
b. No

Answer 1

To determine if two lines are parallel, compare their slopes. In this case, the slopes are the same, so the lines are parallel.

Step-by-step explanation:

To determine if the two lines are parallel, we need to compare their slopes. The formula to find the slope between two points is given by:

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

For the first line, the two points are P1(4, -1) and P2(2, 11). Plugging the values into the formula, we get:

slope1 = (11 - (-1)) / (2 - 4) = 12 / (-2) = -6

For the second line, the two points are Q1(-5, -4) and Q2(-7, 8). Plugging the values into the formula, we get:

slope2 = (8 - (-4)) / (-7 - (-5)) = 12 / (-2) = -6

Since the slopes of the two lines are the same (-6), they are parallel.