The graph shows two lines, A and B.

A coordinate plane is shown with two lines, A and B, graphed. Line A has a slope of negative 1 and crosses the y axis at 5. Line B has a slope of positive 1 and crosses the y axis at 3.

How many solutions are there for the pair of equations for lines A and B? Explain your answer.

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