Question

The graph of the equation y = 3x − 4 is shown. What statement is true about every point on the graph? Math item stem image CLEAR CHECK The x-coordinate is greater than the y-coordinate. The y-coordinate is 3 less than the x-coordinate. If you triple the x-coordinate and then subtract 4, you get the y-coordinate. The x-coordinate and y-coordinate have the same sign. NEXT Reference calculator formulas glossary CLOSE Language ENGLISH CLOSE

Answer 1

C. If you triple the x-coordinate and then subtract 4, you get the y-coordinate.

Answer 2

C. If you triple the x-coordinate and then subtract 4, you get the y-coordinate.

Explanation:

We are given the graph of the equation y = 3x -4 as shown below.

Substituting x =3 in the equation gives us,

y = 3x - 4

i.e. y = 3 × 3 - 4

i.e. y = 9 - 4

i.e. y = 5

Thus, we get the point ( x,y ) = ( 3,5 ).

Here, x = 3 < 5 = y.

So, option A is not correct.

Also for ( 3,5 ), we have y = 5 = 3 + 2 = x + 2 i.e. y is not 3 less than x.

This shows that option B is also not correct.

If we put x = 0 in the equation, we get y = 3x -4 i.e y = -4.

Thus, both x and y co-ordinate do not have the same sign.

So, option D is wrong.

Hence, option C is correct i.e. we get the y-coordinate, when we triple the x-coordinate and then subtract 4.