which piont lies on the line represented by the equation below?
5x+4y=22
a -2,11/4
b -1,17/4
c 2,3
d 6,2
To determine which point lies on the line represented by the equation 5x + 4y = 22, we can substitute the x and y values of each point into the equation and see if it satisfies the equation.
Let's check each option:
a) -2, 11/4
Substituting x = -2 and y = 11/4 into the equation:
5(-2) + 4(11/4) = -10 + 11 = 1.
So, (-2, 11/4) does not satisfy the equation.
b) -1, 17/4
Substituting x = -1 and y = 17/4 into the equation:
5(-1) + 4(17/4) = -5 + 17 = 12.
So, (-1, 17/4) does not satisfy the equation.
c) 2, 3
Substituting x = 2 and y = 3 into the equation:
5(2) + 4(3) = 10 + 12 = 22.
So, (2, 3) satisfies the equation.
d) 6, 2
Substituting x = 6 and y = 2 into the equation:
5(6) + 4(2) = 30 + 8 = 38.
So, (6, 2) does not satisfy the equation.
Therefore, the point (2, 3) lies on the line represented by the equation 5x + 4y = 22. The correct answer is c) 2, 3.