Question

A, B and C are coordinates on the line y = x - 6.

Use the table of values to find A, B and C.
X
Y
Coordinates
-1 0
-7
-6
A B
1
-5
C

Answer 1

The coordinates A, B, and C on the line y = x - 6 are found by substituting the given x-values into the equation. The resulting coordinates are A(-6, -12), B(0, -6), and C(1, -5).

Step-by-step explanation:

The student is working with the linear equation y = x - 6. To find the coordinates labeled A, B, and C, we will substitute the given x-values into the equation and solve for y. Here is the step-by-step process:

For point A, x is -6. Using the equation: y = -6 - 6, which results in y = -12. So, A is (-6, -12).

For point B, x is 0. Using the equation: y = 0 - 6, which gives y = -6. Therefore, B is (0, -6).

For point C, x is 1. Using the equation: y = 1 - 6, we find y = -5, which matches the table provided and confirms that C is (1, -5).

Thus, the coordinates are A(-6, -12), B(0, -6), and C(1, -5).