Question

Which ordered pair is a solution of the equation?

y-3=5(x-2) Choose 1 answer:

A

Only (2,3)

B

Only (3,2)

C

Both (2,3) (3,2)

D

Neither

Answer 1

A Only (2, 3)

Explanation:

The given equation is in point-slope form:

y -k = m(x -h) . . . . . a line with slope m through point (h, k)

The point in the given equation is ...

(h, k) = (2, 3)

so you know the equation is satisfied at that point.

__

When you try the other point, you find ...

For (x, y) = (3, 2), you have

2 -3 = 5(3 -2)

-1 = 5(1) . . . . FALSE

Point (3, 2) does not satisfy the equation.

Only (2, 3) is a solution of the equation

_____

Of course, the equation of a line is satisfied by an infinite number of points. Of the two listed here, only (2, 3) is a solution.