Question

Given the inequality ys -4x + 6 and y < 6x + 6 graphed on the samecoordinate grid, which of the following coordinate pairs is a solution?

Answer 1

None of the above

Step-by-step explanation

Given the following inequalities

y <= -4x + 6 and, y <= 6x + 6

Step 1: Turn the inequalities to an equation

y = -4x + 6 --------------- equation 1

y = 6x + 6 --------------- equation 2

Equate equation 1 and 2 to together

-4x + 6 = 6x + 6

Collect the like terms

-4x - 6x = 6 - 6

-10x = 0

Divide both sides by -10

-10x/-10 = 0/-10

x = 0

To find y,Substitute the value of x = 0 into the equation

y = -4x + 6

y = -4(0) + 6

y = 0 + 6

y = 6

Therefore, x = 0 and y = 6