Question

On a sheet of graph paper, using a scale of 1 cm to represent 1 unit along x-axis and 1 cm to represent 2 units along y-axis, draw the graph of the function y = 2x + 8 for the values of x from -2 to 4?

Answer 1

Answer: hello bro, here is your answer

Step-by-step explanation:4x−5y=−4 ..(i)

4x=5y−4

x=(5y−4)/4

When y=0

x=(5×0−4)/4=−4/4=−1

When y=2

x=(5×2−4)/4=6/4=1.5

When y=−2

x=(5×−2−4)/4=−14/4=−3.5

x= −3.5 ,−1 ,1.5

y= −2 ,0 ,2

Mark the above points on graph. Join them.

3x=2y−3 …(ii)

x=(2y−3)/3

When y=0,

x=(2×0−3)/3=−3/3=−1

When y=3,

x=(2×3−3)/3=3/3=1

When y=−3,

x=(2×−3−3)/3=−9/3=−3

x= −1 ,1 ,−3

y= 0 ,3 ,−3

Mark the above points on graph. Join them

It is clear from the graph that the two lines intersect at (−1,0).

So the solution of the given equations are x=−1 and y=0.