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5. Coordinate geometry
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Q5 of 112 Page 156

Find the slope of the line which passes through the origin and the midpoint of the line segment joining the points (0, – 4) and (8, 0).

We need to find slope of a line passing through origin (0, 0) & mid–point of P (0, –4) and Q (8, 0)


Let M mid–point of P (0, –4) and Q (8, 0)


Mid–point formula M (x, y)


Mid–point of PQ




We know that,


Slope of line passing through (x1, y1) and (x2, y2) is



Slope of line between points O (0, 0) and M (4, –2)




Hence, slope of line is


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3

Find the slope of the straight line passing through the points

(i) (3, –2) and (7, 2) (ii) (2, –4) and origin


(iii) and

4

Find the angle of inclination of the line passing through the points

(i) (1, 2) and (2, 3) (ii) and (0, 0)


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6

The side AB of a square ABCD is parallel to x–axis. Find the

(i) slope of AB (ii) slope of BC (iii) slope of the diagonal AC

7

The side BC of an equilateral 3ABC is parallel to x–axis. Find the slope of AB and the slope of BC.

Questions · 112
5. Coordinate geometry
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