Which graph below shows a system of equations with no solution?

Consider two equation of line

1. A x + B y = C

2. P x + Q y = R

→A system of equation in two variable has no solution only when the two lines never intersect , i.e they are parallel to each other.

i.e⇒

Or in another term

y = m x + c ------(1)

y = k x + r -----(2)

If slope of two lines are same i.e, m=k, then the two lines are parallel having no solution.

Equation of line having X intercept (a,0) and Y intercept (0,b) is given by

x/a  + y\b= 1

Graph 1:

Line 1.  x + y = 2 As line passes through (2,0) and (0,2).

Line 2.  x + y = -2 As line passes through (-2,0) and (0,-2).

Slope of both the lines are -1. So line (1) and line (2) are parallel.It has no solution.

In Graph 2 and 4 it is open that two lines are intersecting having one solution.

In Graph 3 , the two lines are coincident i.e infinite number of solution.

So , Option (1) i.e Graph 1  Consist of two lines which have no solution.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,