Question

Line c passes through the points (5, 4) and (9, 16). Line d passes through the points (- 2, 9) and (1, 18) Find the slope of each line and determine whether lines c and d are parallel, perpendicular, or neither. Explain your answer ...

Answer 1

Line C

Point C1 = (x1,y1)= (5,4)

Point C2 = (x2,y2) = (9,16)

Apply the slope (m) formula:

$m=\frac{y2-y1}{x2-x1}$

_Replace:

$m=\frac{16-4}{9-5}=\frac{12}{4}=3$

Same process for Line d:

Pont d1= (-2,9) = (x1,y1)

Point d2 = (1,18) = (x2,y2)

$m=\frac{18-9}{1-(-2)}=\frac{18-9}{1+2}=\frac{9}{3}=3$

Both lines have the same slope (3), so, both lines are parallel.