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Math Question for Tuesday, October 21st, 2014

When graphed in the (*x*,*y*) coordinate plane, at what point do the lines *x* + *y* = 5 and *y* = 7 intersect?

**A.** (–2,0)

**B.** (–2,7)

**C.** (0,7)

**D.** (2,5)

**E.** (5,7)

## Incorrect

## Correct!

**The correct answer is B.**
If *x* + *y* = 5 and *y* = 7, then *x* + 7 = 5 and *x* = –2. The point of intersection is (–2,7).

Check: –2 + 7 = 5 and 7 = 7, so (–2,7) is on both lines.

A, C, D, E cannot be correct since two distinct lines intersect in at most one point, and (–2,7) is the point of intersection, so none of the points in A, C, D, and E can be on both lines.

## Incorrect

## Incorrect

## Incorrect