For this case we have the following expression:
We eliminate the parentheses taking into account that:
We add similar terms:
Different signs are subtracted and the sign of the major is placed:
Finally, the expression is reduced to:
Answer:
Option B
Answer:
The correct answer is D. (3,3)
Step-by-step explanation:
It is where the 2 lines intersect each other! Hope this helps! <em>Please mark as brainiest!!!!!!!!!!!!!</em>
Hey! I'm here <3
Let's go through this.
The standard form formula is ax+by=c. A can't be a fraction <em>or</em> a negative. In order to clear the denominator and the negative, can can multiply both sides by -4. That gets us:
-4y = 3x -12
Then, we can add 4y to both sides, and then add 12 to the other side.
12 = 3x+4y, or 3x+4y = 12. Therefore, the first answer is correct.
For the second one, we do the same thing. We can multiply both sides by -5 to clear the denominator and the negative. That'll get us:
-5y = 2x-15.
We can then add the 5y to the right side and add the 15 to the left.
15 = 2x+5y, or 2x+5y = 15. Therefore, the first answer is correct again.
Next one: parallel lines always have the same slope. So, we know that the slope is going to be 5. We can then use the points given to find b.
14 = 5(2) + b
14 = 10 +b
4 = b.
Therefore, our equation will be y = 5x +4. The last option is the correct
answer.
Now for number 20. For perpendicular slopes, the slope is always going to be the opposite of the reciprocal of the given slope. We see here here that, that isn't the case, therefore it's neither, because it's definitely not the same slope, so not parallel.
Ready for the last one?
<em /><em />If it's perpendicular, we know it's the opposite of the reciprocal, or -2/5. That narrows our answer down to A and C. It seems like the difference between the two is the x+5 or the x+5. Let's clear that up. We see that the x-value is -7. If the formula states to subtract the x, and the x is already negative, that creates a plus, so the answer is c.
I hope my long-paragraph-thing helped you!
To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y -intercept--this should be of the form (0, b)
