Question

Draw straight lines corresponding to following equations (a) y= 2x (b) y = - 6x (c) y=4x +2 (d) y = 6x -4

Answer 1

Explanation:

to find the lines just substitute arbitary x and y values

for example. (c) y=4x +2

when x =0 , y=2 ; y=0, x = -1/2 ; x=1, y=6

so the coordinates are (0,2) (0,-1/2) , (1,6)

now draw the graph

Answer 2

The straight lines corresponding to following equations (a) y= 2x (b) y = - 6x (c) y=4x +2 (d) y = 6x -4 is as follows.

Given:

(a) y= 2x (b) y = - 6x (c) y=4x +2 (d) y = 6x -4

To draw:

The straight lines corresponding to the given equations

The graphs corresponding to following equations is attachd below.

Now consider:

(a) y = 2x

when x = 0, y = 0

when x = 1, y = 2

Therefore, have two points (0, 0) and (1, 2)

(b) y = - 6x

when x = 0, y = 0

when x = 1, y = -6

Therefore, have two points (0, 0) and (1, -6)

(c) y = 4x +2

when x = 0, y = 2

when x = 1, y = 6

Therefore, have two points (0, 2) and (1, 6)

(d) y = 6x - 4

when x = 0, y = -4

when x = 1, y = 2

Therefore, have two points (0, -4) and (1, 2)