The coordinates of (−6, 4) satisfy the equation y = 1/3x + 6 because (−6, 4) ______.

If (−6, 4) satisfies the equations of two lines, (−6, 4) is ______, so the lines will ______ at (−6, 4).

This means that if two lines ______ at (−6, 4), then (−6, 4) is the ______ to the system of equations.

This means that if you substitute −6 for x and 4 for y in the equations, both equations will be ______.

Question

The coordinates of (−6, 4) satisfy the equation y = 1/3x + 6 because (−6, 4) ______.

If (−6, 4) satisfies the equations of two lines, (−6, 4) is ______, so the lines will ______ at (−6, 4).

This means that if two lines ______ at (−6, 4), then (−6, 4) is the ______ to the system of equations.

This means that if you substitute −6 for x and 4 for y in the equations, both equations will be ______.

Quizzma Team · Answer

The coordinates of (−6, 4) satisfy the equation y = 1/3x + 6 because (−6, 4) is a solution.

If (−6, 4) satisfies the equations of two lines, (−6, 4) is the point of intersection, so the lines will intersect at (−6, 4).

This means that if two lines intersect at (−6, 4), then (−6, 4) is the solution to the system of equations.

This means that if you substitute −6 for x and 4 for y in the equations, both equations will be true.

Short Explanation: To verify that the point (−6, 4) satisfies the equation, substitute x = −6 and y = 4 into the equation y = 1/3x + 6. If both sides equal each other, then it confirms that (−6, 4) is indeed a solution. If both equations are satisfied, they must intersect at that point, indicating it’s the solution to the system.

1 Answer