First, it is important to understand that parallel lines have the same slope. Therefore, based on the formula y=mx+b in which m represents slope and based on the equation y=-1/2x+5, the slope of the unknown line is also -1/2. Then, there are two different ways to solve this problem using different formulas.
The first method to find the unknown equation is easy but not widely known. We can use the point slope formula which is (y-y1)=m(x-x1) in which we can plug a point and slope to find the equation. When we plug in the values given, we get y+6=-1/2(x-4) or y+6 =-1/2x+2 which simplifies to y=-1/2x-4.
The other method is using the slope intercept form or y=mx+b. When we plug in our slope and our point, we get -6=-1/2*4+b or -6=-2+b so b must equal -4, therefore we have all the information we need to plug values into y=mx+b. When we plug in our slope and y-intercept, we get y=-1/2x-4 which is the answer.
I hope this helps!
answer:
11x
step-by-step explanation:
- just add them since they are like terms
x + 4x + 6x
= 11x
Answer:
The money my sister have is $34
Step-by-step explanation:
Given as :
The two statements are as
If I give my sister 5 dollars, then we will have the same amount of money ...A
If instead she gives me 8 dollars, then I'll have twice as much money as she has. ......B
Let the money I have = $x
And The money my sister have = $y
Now, From statement A
x - 5 = y + 5
or, x - y = 5 + 5
or, x - y = 10 ........1
Again, From statement B
2 ×(y - 8) = (x + 8)
2 y - 16 = x + 8
2 y - x = 24 ........2
Now, solving Eq 1 and 2
Put the value of x from eq 1 into eq 2
2 y - (y + 10) = 24
Or, 2 y - y = 24 + 10
Or, y = 34
So, The money my sister have = y = $34
Put the value of y into eq 1
so, x - 34 = 10
I.e x = 10 + 34
∴ x = 44
So, The money I have = x = $44
Hence, The money my sister have is $34 Answer
Answer:
the area of 60ft is 60. :]
Step-by-step explanation:
