Answer:
The equation of the line would be A) y - 8 = -2(x + 2)
Step-by-step explanation:
In order to find the equation of the line, we need to start by finding the slope. We can do that with the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-2 - 8)/(3 - -2)
m = -10/5
m = -2
Now that we have the slope at -2, we can plus in the first point into point-slope form and find the equation.
y - y1 = m(x - x1)
y - 8 = -2(x + 2)
<u>QUESTION 2</u>
Answer:
The correct answer is B) x-intercept = -4 and y-intercept = -3
Step-by-step explanation:
We can tell this because the y-intercept is the value of y when x = 0. So we put 0 into x for the equation.
3x + 4y = -12
3(0) + 4y = -14
4y = -12
y = -3
Since B is the only answer with an y-intercept at -3, we know it to be the correct answer.
= 9 * 10^5 * 3 * 10^10
= 27 * 10^5 * 10^10
= 27 * 10^15
= 2.7 * 10^16 - The best selection appears to be the first option.
Good luck :)
Answer:
0
Step-by-step explanation:
3 <em><u>-</u></em> (<u><em>-</em></u>1) + (-1) -3 =
Minus and a negative makes it positive. In other words it would be written like this: 3 + 1 <u><em>+</em></u> (<u><em>-</em></u>1) - 3 =
Next step would be making it minus 1, because plus sign and negative makes the number to be subtracted. It would be rewritten like this: <em><u>3 + 1 </u></em>- 1 - 3 =
Then you will simply add 3 and 1, which makes it 4. So it would be rewritten likes this: <em><u>4 - 1</u></em> - 3 =
Then you will simply subtract 1 from 4, which would equal to 3. So it would be rewritten like this: <em><u>3 - 3</u></em> =
Last step, would be subtracting 3 from 3. Whatever is subtracted from itself would always be 0.
So the answer would be 0!
We are given the system of equations -:

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

Expand 3 in the expression so we can combine like terms and isolate x-variable.

Then combine like terms.

Get rid of 66 from the left side by subtracting both sides by itself.

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

Simplify to the simplest form.

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.
Answer
I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!