1 answer:
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Answer:
C. If you triple the x-coordinate and then subtract 4, you get the y-coordinate.
Step-by-step 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.
Answer:
<em>The coordinates of B are (-8,-4)</em>
Step-by-step explanation:
<u>Midpoint of a segment</u>
Given points A(xa,ya) and B(xb,yb), the coordinates of the midpoint M can be found knowing that:
Applying that relation in both axes separately, we can write:
Knowing the coordinates of the midpoint and A, we can find the coordinates of the other extreme B solving both equations for the required variable:
Plugging in the known values:
The coordinates of B are (-8,-4)