Answer:
y = x + 1
Step-by-step explanation:
The gradient of a line can be defined by the equation:
m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript
For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):
x2 = -7, y2 = -6
Plug these values into the formula above:
m = (y-(-6)) ÷ (x-(-7))
m = (y+6) ÷ (x+7)
At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.
x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:
y = x-7 ---> The gradient (coefficient of x) is 1.
Therefore, the gradient of the other parallel line must also be 1.
This can be substituted into the previous equation to give:
1 = (y+6)÷(x+7)
x+7 = y+6
x+1 = y
Therefore, the answer is y=x+1
Entirely impossible to know, there are an infinite number of sequences which have the terms 8, 15, and 22 for n=1,2,3 -you could say that if you wanted to give a "smart" answer and it would be true
otherwise 43 pages on 6th day I think
Answer:
They can make one person leave
Step-by-step explanation:
Answer:
The solution set would be (2, -1)
Step-by-step explanation:
To find the solution set, use the elimination method. You can do this my multiplying the whole first equation by 2 and then adding the two equations together.
6x + 4y = 8
2x - 4y = 8
----------------
8x = 16
x = 2
Now that we have the value of x, solve for y using either equation.
2x - 4y = 8
2(2) - 4y = 8
4 - 4y = 8
-4y = 4
y = -1
Answer:
15 is 30 percent of 50 hope this helps