Question

Which of the following points lies on the graph of this equation?

A. (-2, -2)
B. (-2, -4)
C. (2, -1)
D. (2, 1)

Answer 1

C. (2, -1)

Explanation:

Substitute the x values for each point into the equation and see whether the calculated y value from the equation matches the y-coordinate of the point

There are only 2 distinct x-values to be tested: -2 and 2 so that makes it easier to test

`\textsf{The equation is } \sf y = (3)/(2)x -4\\\\Substitute\;x\;=\;-2\;and\;see\;what\;value\;of\;y\;you\;get:\\\\For x = -2, y = (3)/(2) * -2 - 4\\= -3 -4 = -7\\\\\sf\;Since\;-7\;does\;not\;appear\;in\;any\;of\;the\;answers\;we\;can\;eliminate\;A\;and\;B`

Try x = 2

`\sf For x = 2, y = (3)/(2) * 2 - 4\\= 3 -4 = -1\\\\`

This corresponds to the point (2, -1) which is choice C