Q7 of 39 Page 157

Determine the equation of the line in each of the following graphs:

(i) We can see in the graph that the graph passes through the points (3, 8) and (-3, -3)

Now, let (x1, y1) = (3, 8) and (x2, y2) = (-3,-3)


Now the equation of the line passing through (x1, y1) and (x2, y2) is given by-





⇒ 6y-48 = 11x-33


⇒ 6y = 11x + 15


(ii) We can see in the graph that the graph passes through the points (-4, 2) and (12, -3)


Now, let (x1, y1)=(-4, 2) and (x2, y2)=(12,-3)


Now the equation of the line passing through (x1,y1) and (x2,y2) is given by-





⇒ 16y – 32 = - 5x - 20


⇒ 16y = - 5x + 12


More from this chapter

All 39 →
5

True or false?

(a) The equation of the x-axis is x =0.


(b) The line x =4 is parallel to Y-axis.


(c) The line y =8 is perpendicular to x-axis.


(d) The lines x = y and x = −y are perpendicular to each other.


(e) The lines x =9 and y =9 are perpendicular to each other.


(f) The graph of y = x2 is a straight line.


(g) The line y =3x +4 does not intersect x-axis.


(h) In a rectangular coordinate system, the coordinate axes are chosen such that they form a pair of perpendicular lines.

 6

Determine the equation of the line which passes through the points (0,−8) and (7,0).

 8

A point P has coordinates (7,10) in a coordinate system X′OX ↔ Y′OY. Suppose it has coordinates (10,7) in another coordinate system X′1O1X1↔ Y′1O1Y1 with X′OX || X′1O1X1. Find the coordinates of O1 in the system X′OX ↔ Y′OY.

 9

Sketch the region {(x, y): x ≥ 0, y ≥ 0, x + 2y ≤ 4} in a coordinate system set up by you.