Find the coordinates of the intersection of the graphs of the functions y = -5x + 9 and y = 2x + 2.

Solution of the task:

1.y = -5x + 9 and y = 2x + 2.

2. Equate both equations: -5x + 9 = 2x +2.

3. Find x:

a) Terms with x to the left, free terms to the right: -5x – 2x = -9 + 2

b) We are looking for similar terms. Simplify: -7x = -7

c) Divide both parts by 7. We get: x = 1

4. Substitute the resulting value into any of the equations. For example, in the second: y = 2 * 1 + 2 = 4.

Answer: (1, 4) is the intersection point of y = -5x + 9 and y = 2x + 2.