(08.01) Line M is represented by the following equation: x + y = −1 What is most likely the equation for line P so the set of equations has infinitely many solutions?

Solution:

The two lines have infinitely many Solutions, then the lines overlap at every point

To have infinitely many solutions, the lines must be identical consisting of exactly the same points to make it

Which means, in simplest form their equations are the same

x + y = -1

Multiply by 2

2x + 2y = -2

Thus, equation for line P is 2x + 2y = -2

Now we have,

Line M : x + y = -1

Lin P : 2x + 2y = -2

Similarly, we can obtain many equations for line P so that set of equations has infinitely many solutions

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation: