Question

m passes through points (1,5) and (3.5,7). Line n passes through points (4,7) and (7.5,10). Are lines m and n parallel? Explain.

Answer 1

Answer:

Not parallel

Step-by-step explanation:

Given

m = (1.5) to (3.5,7)

n = (4,7) to (7.5, 10)

Required

Determine if m and n are parallel

To do this, we need to calculate the slope of both lines.

Slope is calculated as:

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

For m;

Slope = (7 - 5)/(3.5 - 1)

Slope = 2/2.5

Slope = 0.8

For n

Slope = (10 - 7)/(7.5 - 4)

Slope = 3/3.5

Slope = 0.86 --- Approximated

Since slope of both lines are different, then they are not parallel