Question

Draw the graphs corresponding to the equations (a) y = 4x (b)y =-6x (c) y = x +4 (d) y =-2x +4 (e) y = 2x - 4 (f) y =- 4x -6

Answer 1

Steps tp follow to draw the graph:-

1. For any graph that we draw, we need minimum two points through which the line passes.
2. Take any random value for x and find corresponding value for y.
3. Do this at least twice so we get two points and can draw a line passing through it

a) y=4x    

Let x= 0, then we get y=0. First point is (0,0)

Let x=1, then we get y=4. Second point is (1,4).

Just to confirm if the line is right, take a third point. If line passes through all 3, we are sure that graph is right.

Let x=-1. then we get y=-4. Third point is (-1,-4).

b) y = -6x

Let x= 0, then we get y=0. First point is (0,0)

Let x=-1, then y=6. Second point is (-1,6).

Let  x=1, then y= -6. Third point is (1,-6)

c) y=x+4

Let x=0, then y=4. First point is (0,4).

Let x=-4, then y=0. Second point is (-4,0)

Let x=-1, then y=3. Third point is (-1,3).

d) y= -2x+4

Let x=0, then y=4. First point is (0,4)

Let x=1, then y=2. Second point is (1,2).

Let x=2, then y=0. Third point is (2,0).

e) y=2x-4

Let x=0, then y=-4. First point is (0,-4).

Let x=1, then y=-2. Second point is (1,-2).

Let x=2, then y=0. Third point is (2,0).

f) y=-4x-6

Let x=0, then y=-6. First point is (0,-6).

Let x=-1, then y=-2. Second point is (-1,-2).

Let x=-2, then y=2. Third point is (-2,2)

I have attached graph of all equations for reference.