30 points!

consider the figure shown.

which set of points are collinear?
a) a, d, and e
b) b, c, and d
c) b, c, and f
d) f, b, and d

2)
what is another way to name plane m?
a) plane bcd
b) plane bfd
c) plane ace
d) plane acb

1. B

2. B

Step-by-step explanation:

1. Three points are collinear if they lie on the same line. The diagram shows two triples of points that lie on the same line:

Thus, option B is true.

2. Another way to name the plane is to select three points which do not lie on the same line and write them consequently. As you can see from the diagram, points B, F and D lie on the plane M, but do not lie on the same line. Thus, another way to name plane M is BFD.

1)Parallel means they have to have the same slope. Since our equation is y=2/3x+1, a line parallel to that would be(using out points) -5=2/3(-4)+b.

To find the y-intercept, solve for "b".

b=-7/3

Our equation would then be y=2/3x-7/3

2)Perpendicular lines have opposite-reciprocal slopes. our previous equation was y=2/3x+1, so our new equation would be -5=-3/2(-4)+b. Now lets solve for b.

b=-11

So our perpendicular equation would be y=-3/2x-11

Step-by-step explanation:

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