Question

The graph shows two lines, A and B.

Answer 1

Hello.

sloope intercept form is 
y=mx+b
m=slope
b=y intercept =where the line passes through the y axis.

line M has slope of 1 and passes through y axis at -5(y intercept=5)
equaton is therefor y=1x5 or y=x5

Line N has slope of 1 and passes through y axis at 1 (y intercept=1)
equaton is therefor y=1x1 or y=x1.

compare

line M: y=x2
line N: y=x5

There are different solutions so that means there is one solution.

Have a nice day

Answer 2

Answer:

There is one/unique solution to the pair of equations for line A and line B.

Step-by-step explanation:

We know that the equation of a line in slope intercept form is given by:

                     y= mx+b

where m is the slope of the line and b is the y-intercept of the line.

The graph A:

  Line A has a slope of negative 1 and crosses the y axis at 5.

i.e. the slope of line i.e. m= -1

and y-intercept of line i.e. b=5

Hence, the equation of line A is:

              y= -x+5

Graph B:

Line B has a slope of positive 1 and crosses the y axis at 3.

i.e.  m=1

and b=3

Hence, the equation of line B is:

               y=x+3

Now from the graph of these two lines we see that the system of lines intersect at just one point.

       Hence, there is just one solution for the pair of equations.