Question

Is that graph one solution, No solution or Infinite Solution?

Answer 1

The given graph contains a line

The general equation of the line is

`y=mx+b`

By observing the graph, we get two points which lie on the line

that are (0,3) and (-4,0)

Substitute x=0 and y=3 in the equation of the line, we get

`3=m(0)+b`

`b=3`

Substitute x=-4 and y=0 in the equation of the line, we get

`0=m(-4)+b`

`4m=b`

Substitute b=3, we get

`4m=3`

Transferring 4 to the right-hand side, we get

`m=(3)/(4)`

By substituting b=3 and m=3/4 in the equation of the line, we get

`y=(3)/(4)x+3`

We get the equation of the given line.

By giving many values to x, we will get many values for y.

Hence this graph has infinite solutions.