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:
1/20
Step-by-step explanation:
In Scarlette grade 1/5 of the students have a sister.
Of the students who have a sister 1/4 also have a brother
Therefore fraction if students in Scarlet's grade who had both brothers and sister can be calculated as follows
= 1/5 ×1/4
= 1/20
Answer:
Width of rectangular piece = x = 8 inches
Step-by-step explanation:
Perimeter of rectangular piece = 62 inches
Let width of rectangular piece= x
and length of rectangular piece = x+15
We need to find width i.e value of x
The formula used for perimeter of rectangle is: 
Putting values in formula and finding Width:

After solving we get value of x = 8
So, Width of rectangular piece = x = 8 inches
Answer:
A y = 40x + 75
B 1 hour = 115
2 hour = 155
3 hour = 195
4 hour = 235
5 hour = 275
6 hour = 315
C, D, E look at pic below
plz mark brainliest
I would choose a hope this helps