Steve wants to create a system of equations so that the system has no solution. which of these can steve do? check all that apply. create a pair of equations with the same slope and different y-intercepts. create a pair of lines in which one line lies directly on top of the other. create a pair of equivalent equations. create a pair of lines that will always stay the same distance apart. create a pair of lines that intersect at only one point.

The answer is

Create a pair of equations with the same slope and different y-intercepts

Create a pair of lines that will always stay the same distance apart

Step-by-step explanation:

we know that

A system consisting of two parallel lines do not intersect each other, therefore the system has no solution.

we're going to verify all the cases

case A) Create a pair of equations with the same slope and different y-intercepts

The system has no solution

Because, the pair of equations are two different parallel lines

case B) Create a pair of lines in which one line lies directly on top of the other

The system has infinitely solutions

Because, the equations are equivalent ( is the same line)

case C) Create a pair of equivalent equations

The system has infinitely solutions

Because, the equations are the same line

case D) Create a pair of lines that will always stay the same distance apart

The system has no solution

Because, the pair of lines are parallel lines

case E) Create a pair of lines that intersect at only one point

The system has one solution

Because, the solution of the system is the intersection point both graphs

is it 35

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c