Reviews of graph of a system of two linear equations in two variables: y = x - 6 and y = - x + 4.

Answer 1

The graph of the system of two linear equations y = x - 6 and y = -x + 4 is a set of two straight lines that intersect at a point (-1, -7) on the coordinate plane.

The first equation y = x - 6 represents a line with a positive slope of 1 and a y-intercept of -6. The second equation y = -x + 4 represents a line with a negative slope of -1 and a y-intercept of 4.

When graphed, these two lines intersect at the point (-1, -7) as they have opposite slopes. This point is the solution to the system of equations and represents the values of x and y that satisfy both equations simultaneously.

Overall, the graph of this system of linear equations shows a clear intersection point where the two lines cross each other, indicating the solution to the system. This graphical representation provides a visual representation of the relationship between the two equations and demonstrates how they interact with each other on the coordinate plane.