Straight Lines

Question 1 – Straight line questions

1) Consider the graph 3y + 4x = 5.

a) On the axis below sketch the graph. Be sure to label all intercepts clearly

b)  Construct a formula of a line that is parallel to the line you have drawn in a). Assume that the line crosses through the coordinate (-1,3). (2 marks)
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c) Construct a formula for the graph that crosses the graph of a) at the point  x = -1 and goes through the x axis at the point x = 7.
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________________________________________     2 marks

d) Put the answer you found in c) back into the form of ay + bx = c where a,b,c are all real numbers.
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1 mark

2) For the following find the equation of the line. Remember to include any domain and range.


a) The line goes through the point (0,9) and (8,5).
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_________________________________________ 2 marks

3) Consider the line with the endpoints (-3,5) and (8,-10).

a) Find the slope of the line.
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___________________________ 1 mark

b) Find the midpoint of the line.
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c) Find the distance of the line.
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d) Find the equation of the line.
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e) Find the angle the line makes with the positive x axis.
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f) Find the equation of the perpendicular bisector that cuts this line.
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__________________________________________ 3 marks

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