a) What is the equation of a straight line that passes through (2,0) and has a gradient of -3 ? b) Consider a parabola represented by y = x² + 2. The parabola is cut at two points by the straight line y = x +4. Find the distance between the two points which cut the parabola.

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A:

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A: The line is parallel to y+8x=4, passes through 3, 4

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A: Consider the provided question, (21) First find the intersection point of the two lines,

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A:

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A:

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A: In this question given that a straight line passing through point (1,0) and (3,6). We find equation…

Q: What is the equation of a line parallel to the line y=2x that passes through the point (0,4)?

A: Solution:      Equation of any parallel line to y = 2x is      y = 2x + c where c is constant.

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A: Given

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Q: write the equation of the line perpendicular to y=4x+4 and passing through (-12,6). Please show work

A: Answer: The solution is given below:

Q: Please solve and show your work

A: The given points are

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A: Explanation: Plot the points A and B on the graph. Then draw a horizontal line from A and Vertical…

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A: