Question

is the line that contains the points (6,-3) and (4,9) parallel to the line that contains the points (-1,-2)and (-3,10)

Answer 1

Yes, the same slope of -6

Explanation:

1, (6, -3) and (4,9): the slope is calculated like: (9- (-3))/(4-6) = (9+3)/(-2) = 12/(-2) = -6

Equation: y-9 = -6(x-4) or y-9 = -6x+24

y= -6x+33

2, (-1, -2) and (-3, 10): the slope is calculated like: (10-(-2))/(-3 -(-1)) = (10+2)/(-3+1) = 12/-2 = -6, then the same slope.

Equation: y-(-2) = -6( x-(-1)) or y+2 = -6(x+1)

y+2 = -6x -6

y= -6x -8