Question

You are given an equation of a line and a point. Use substitution to determine whether the point is on the line. y = -x + 3; A(6,3)

Answer 1

(6, 3 ) is not on the line

Explanation:

Substitute x = 6 into the right side of the equation and if the value is equal to the y- coordinate of the point, then it is on the line

y = - 6 + 3 = - 3 ≠ 3

Thus (6, 3 ) is not on the line

Answer 2

The point is NOT on the line.

Explanation:

Step 1: Write out equation

y = -x + 3

Step 2: Define point

A(6, 3)

x = 6, y = 3

Step 3: Plug in coordinates

3 = -(6) + 3

3 = -6 + 3

3 ≠ -3