Answer:
B: y = -2/3x - 10/3
Step-by-step explanation:
The point is at (-2,-2), therefore when you input -2 into the desired equation, it should yield -2 as our output. If we use the equation B, the equation becomes
-4/3 - 10/3 which is -6/3. After dividing it we get -2 as the output.
To find the line yourself we use the point slope formula
y - y1 = m(x - x1)
The line is parallel to the one on the graph so the slope or <em>m</em> is equal to -2/3
We input the coordinates we want for y1 and x1.
y - (-2) = -2/3 (x - (-2))
y + 2 = -2/3x - 4/3
y + 6/3 = -2/3x - 4/3
y = -2/3x - 10/3
The word that describes it is congruent
Answers:
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Explanation:
Part (a)
Lines LN and PN have the point N in common. This is the intersection point.
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Part (b)
To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.
I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.
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Part (c)
Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K
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Part (d)
Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.
We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.
Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.
