First you have to factor the equation because there are technically 2 x’s in an x^2. You will get x(x+6)=0 because x*x=x^2 and 6*x=6x. Now you can come up with possible values. If you make the first x, 0, you are multiplying everything by 0 and will get the product of 0. So, one of the and coordinates is x=0. You can also substitute -6 for the second x in the equation so that in the parentheses it would be x(-6+6)=0. You’re basically multiplying 0 by x which will guarantee you to get 0. So, the answer is (0,-6). If you have any questions feel free to comment.

6 0

3 years ago

Find an equation for the described linear function.

Sindrei [870]

Step 1: Find the slope of 3x - 7y = 6

3x - 7y = 6
- 3x -3x
___________
-7y = -3x + 6
-------------------
-7

y = 3/7 x - 7/6

So the slope from this equation is 3/7. Since the line is going to be perpendicular, this slope needs to be the opposite reciprocal. In order to do this, you need to flip 3/7 upside down and make it negative.

Step 2: Use point - slope form to find the y - intercept from the ordered pair
(0, -6/7).

Formula for point - slope form is y - y1 = m (x - x1)

y - (-6/7) = -7/3 (x - 0)
y + 6/7 = -7/3 (x - 0)
y + 6/7 = -7/3x + 0
-6/7 -6/7
----------------------------------
y = -7/3x - 6/7

This step proves that the y - intercept has to be -6/7.

Step 3: Your final answer should be y = -7/3 - 6/7.

5 0

3 years ago