A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.
Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b
-2 = (3/4)*(12) + b
You'll get b= -11
So the equation of the parallel line intersecting the point given is y= 3/4x -11.
I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.
Answer:
That's all I could think that you might need. Finish your question please
Step-by-step explanation:
Together: 13
Andre has 3 more
Here is your answer, you just count to 10... Simple as that.
T(s(x)) = -5
Substitute the value in for x and evaluate = -2
Answer:
![x+y\geq 20](https://tex.z-dn.net/?f=x%2By%5Cgeq%2020)
![3.50x+5.00y\leq 80](https://tex.z-dn.net/?f=3.50x%2B5.00y%5Cleq%2080)
Step-by-step explanation:
Let x represent number of small candles and y represent number of large candles.
We have been given that Jonah needs to buy at least 20 candles. This means number of small and large candles should be greater than or equal to 20. We can represent this information in an inequality as:
![x+y\geq 20...(1)](https://tex.z-dn.net/?f=x%2By%5Cgeq%2020...%281%29)
We are also told that small candles cost $3.50, so cost of x small candles would be
.
Since large candles cost $5.00, so cost of y large candles would be
.
We are told that Jonah cannot spend more than $80, this means cost of x small candles and y large candles should be less than or equal to $80. We can represent this information in an inequality as:
![3.50x+5.00y\geq 80](https://tex.z-dn.net/?f=3.50x%2B5.00y%5Cgeq%2080)
Therefore, our required system of inequalities would be:
![x+y\geq 20](https://tex.z-dn.net/?f=x%2By%5Cgeq%2020)
![3.50x+5.00y\leq 80](https://tex.z-dn.net/?f=3.50x%2B5.00y%5Cleq%2080)