Table of Contents
Table of Contents
Table of Contents
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2. (a) Plot the points X(−1, 2) and Y (1, 3).<br />
i. What is the equation <strong>of</strong> the straight line that joins them?<br />
ii. What is the equation <strong>of</strong> the straight line which passes through X, but is perpendicular<br />
to XY ?<br />
iii. What is the equation <strong>of</strong> the vertical line through Y ?<br />
iv. What is the equation <strong>of</strong> the line through Y and also parallel to y = 3x + 12?<br />
(b) Find the equation <strong>of</strong> the line with gradient 2 that passes through the point (0, −6).<br />
(c) Find the line parallel to y = 1.5x + 4 which goes through (2, 4).<br />
(d) Find the line parallel to the x-axis which goes through (22, 27).<br />
(e) What is the equation <strong>of</strong> the line that passes through the points (−1, −15) and<br />
(−10, −1)?<br />
3. (a) Plot the points A(2, 4), B(1, 2), and C(3, 2). Find the point D that would make<br />
ABCD a parallelogram.<br />
(b) A line has gradient 1, and goes through (5, 2). Does the point (10, 7) lie on the line?<br />
(c) A line has gradient −L. Could both (2, 5) and (0, −10) be on the line?<br />
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