A coordinate plane with four quadrants shows the x-axis ranging from negative 5 to 15 in increments of 1, and the y-axis ranging from negative 10 to 10 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is y equals x minus 6. The equation of the dotted line is y equals negative x plus 4. The intersection point of both lines is shown at positive 5 on the x-axis and negative 1 on the y-axis in quadrant 4.
Review the graphs of a system of two linear equations in two variables: y=x−6
and y=−x+4
. Find the solution to both equations.
(1 point)
The intersection point is (
).
Remaining Attempts : 3
Skip to navigation
1 answer
The intersection point of the two lines given by the equations \( y = x - 6 \) and \( y = -x + 4 \) is where both equations are equal.
From the information provided, the intersection point is already indicated as \( (5, -1) \), which means the solution to both equations is:
The intersection point is (5, -1).
