Which of the following represents y > 2x - 3?
1 answer:
Answer: Choice A
The two characteristics here are:
- The boundary line is a dashed line. This visually indicates to the reader "points on the boundary do NOT count as solutions". Think of the boundary as an electric fence you cannot touch, but can get closer and closer to. We aren't including boundary points directly because of the lack of "or equal to".
- The shading is above the boundary, due to the "greater than" sign. This only works if we have y isolated.
The graph of choice B is since we have a solid line and shading below the solid line. This time points on the boundary are part of the solution set.
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Answer:
- The coordinates of the point p are:
Explanation:
1. Name the angle of inclination of the line joining p to the origin α.
2. Find the relation between the coordinates of the point (x,y)
When you draw a line from the origin to the parabola, the intersection point, p(x,y) will have coordinates (x,y).
As per the definition of the tangent trigonometric ratio you have:
From which you can clear y:
Which is the expression of the coordinates of p as a function of the angle of inclination of the line joining p to the origin.