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
Answer:
46
Step-by-step explanation:
Its adding 12 each time
Answer:
Option C is correct.
The equation 
represents the function.
Step-by-step explanation:
Using slope intercept form to find the equation of line :
For any two points 
and 
the equation of line is given by:
......[1] ;where m is the slope given by:
Consider any two points from table :
let (4, 2) and (0, 4) be any two points.
calculate slope:
Now, substitute in equation [1] we have:
Distributive property i.e, 
Add both sides 2 we get;
Simplify:
Since, y= f(x)
therefore, the equation represents the function.
First step: x= ± √ 121
Second step and correct answer: x= ± 11
Because: x^2 = x= ± √
