Which point is located on the line represented by the equation y - 5 = 2/3(x+9)?
A. (5,-9)
B. (2/3, 5)
C. (-5, 9)
D. (9,-5)
E. (-9,5)
To find a point on the line represented by the equation, we need to substitute values for x and solve for y. Since the equation is in point-slope form, we can choose any value for x.
Let's choose x = 0.
If x = 0, then the equation becomes:
y - 5 = (2/3)(0+9)
y - 5 = (2/3)(9)
y - 5 = 6
y = 6 + 5
y = 11
So, when x = 0, y = 11.
Therefore, the point (0, 11) is located on the line represented by the equation.
None of the options given matches the point (0, 11), so the correct answer is not listed.