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

$m=\frac{3}{4}$

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

$y=\frac{3}{4}x+3$

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.