The coordinates of (−6, 4) satisfy the equation y = 1/3 x + 6 because (−6, 4) __________.
If (−6, 4) satisfies the equations of two lines, (−6, 4) is __________.
This means that if two lines __________ at (−6, 4), then (−6, 4) is the __________.
This means that if you substitute −6 for x and 4 for y in the equations, both equations will be __________.
Answer options:
is on the x-axis
is on the y-axis
is on the graph of y = 1/3x + 6
is on the graph of y = 4
is on the coordinate plane
true
The coordinates of (−6, 4) satisfy the equation y = 1/3 x + 6 because (−6, 4) is on the graph of y = 1/3x + 6.
If (−6, 4) satisfies the equations of two lines, (−6, 4) is on the coordinate plane.
This means that if two lines intersect at (−6, 4), then (−6, 4) is the point of intersection.
This means that if you substitute −6 for x and 4 for y in the equations, both equations will be true.
Explanation: A point that satisfies an equation lies on the graph represented by that equation. Since (−6, 4) satisfies y = 1/3x + 6, it lies on that graph. Points of intersection occur where two lines meet on a coordinate plane, confirming that both equations hold true at that point.