Q5 of 169 Page 656

Show that the line through the points (5, 6) and (2, 3) is parallel to the line through the points (9, -2) and (6, -5)

We know that for two lines to be parallel, their slope must be the same.

Given points are A(5,6),B(2,3) and C(9,-2),D(6,-5)




⇒1 = 1


Hence proved.


More from this chapter

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3

Find the slope of a line which passes through the points

(i) (0, 0) and (4, -2)


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


(iii) (2, 5) and (-4, -4)


(iv) (-2, 3) and (4, -6)


 4

If the slope of the line joining the points A(x, 2) and B(6, -8) is , find the value of x.

 6

Find the value of x so that the line through (3, x) and (2, 7) is parallel to the line through (-1, 4) and (0, 6).

 7

Show that the line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (3, -3) and (5, -9).