Question

which of these points lies on the line described by the equation below? y-4=-2(x-6)

Answer 1

Answer:

The points have not been given. However, I'll tell you the method to do this question.

Given equation:

y - 4 = -2(x - 6)

y - 4 = -2x + 12

y + 2x = 12 + 4 = 16

Hence, the equation is y + 2x = 16.

Now, whatever points have been given to you (which you forgot to post) substitute them in this equation and see if the LHS and RHS are still equal or not. If they are equal, the points lie on the same line, if not equal, the points do not lie in this line. Example:

Suppose the point given is = (2, 12)

That means, x = 2 and y = 12. Let's substitute these in the equation -:

12 + 2(2) = 16

12 + 4 = 16

16 = 16

Therefore, this point lies on the given line.

I hope you understood :)

Answer 2

Answer:

Step-by-step explanation:

We Have :-

y - 4 = - 2 ( x - 6 )

To Find :-

Values of x and y

Solution :-

y - 4 = - 2 ( x - 6 )

y - 4 = - 2x + 12

y + 2x = 16

Substituing values of x and y

When x = 0

y = 16

When x = 1

y = 14

When x = 2

y = 12

When x = 8

y = 0

There are infinitely many solutions for this equation