Is the line passing through the points (−4,5) and (1,10)
parallel to the line passing through the points (−18,−6)
and (−8,4)
?
A
No, because the slopes of the lines are the same, but the y-intercepts are different.
B
No, because the slopes of the lines are different.
C
Yes, because the slopes of the lines are the same, but the y-intercepts are different.
D
Yes, because the slopes of the lines are different.

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²