Examine the system of equations. Do you think the lines will intersect? Explain. y = 2x – 7 y = x – 7 please hurry its timed and its gotta be a written answer.

Indeed. The system of equations has a solution at point (0, -7).

Step-by-step explanation:

A system of linear equations is consistent only if exist a solution. Let equalize each expression to eliminate y and determine if a solution for x exist. That is:

Therefore, the system of linear equations has a solution at point (0, -7).

Sample Response/Explanation: Yes, the lines will intersect because the slopes are different. Also, both lines have a y-intercept of -7, so they both include the point (0, –7).

Which did you include in your response? Check all that apply.

The lines will intersect.

The slopes are different.

The point (0, –7) lies on both lines.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3