If it has to be perpedicular to y = x, then the slope has to be -1/x because perpedicular slope is the opposite reciprocal. Now plug what you know into the point slope formula.

y - 2 = -1/1 (x - 4)

***** Since -1/1 is the same as -1, it can be rewritten as -1. ****************

y - 2 = -1 (x - 4)

Now distribute -1 times x and -4.

y - 2 = -x + 4

Add 2 to both sides to get y by itself.

y = -x + 2

Your answer should be:

y = -x + 2

5 0

3 years ago

What value of x <br> in the solution set of 2(3x – 1) ≥ 4x – 6?

Brrunno [24]

First, you must distribute 2(3x-1).
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside

After distributing, the left side of your inequality will be 6x-2

Now you have
$6x - 2 \geqslant 4x - 6$

To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.

so you have
$6x - 2 \geqslant 4x - 6 \\ - 6x \geqslant + 6$
And that will make the equation
$- 4 \geqslant - 2x$
Now, divide the variable side, ***BUT, because you are dividing by a negative number in an inequality, the inequality will switch sides.

Then, the value of x is greater than or equal to 2

5 0

3 years ago

Read 2 more answers

Volume equation3 1/4 inch high, 6 1/2 inch long, 2 inch wide

Komok [63]

If this is for a rectangle the volume of it would be 39/2 or 19 1/2

8 0

3 years ago