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11 ) F: Y = 2x + 4

12) B: Y = -3x + 6

Step-by-step explanation:

I will provide a graph below.

11 ) As you can see Y = 2x + 4  ( black line ) passes through point ( -1,2 ) and is parallel to y = 2x - 3.

12 ) As you can see Y = -3x +6 ( blue line ) passes through point ( 0, 6 )  and is perpendicular to x - 3y = 5

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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