Answer:
Step-by-step explanation:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.
Hope this helps :)
Answer: (0, -6)
Step-by-step explanation:
The center is the midpoint of the diameter, meaning that the coordinates of Y must be (0, -6).
Answer:
Step-by-step explanation:
When 
, the variable 
will be removed from the equation (
). Therefore, we are left with 
. Thus, when , the given equation has no solutions.
Answer:
Step-by-step explanation:
9. For the lines 'm' and 'n' to be parallel the sum of interior angles should be 180 degrees that is:
10. For the lines 'm' and 'n' to be parallel the alternate exterior angles should be equal that is:
11. For the lines 'm' and 'n' to be parallel alternate angles should be equal that is:
Solving for 'x' we get:
12. For the lines 'm' and 'n' to be parallel corresponding angles should be equal that is:
Answer:
x = 10 and x = -2
Step-by-step explanation:
The equation has 2 solutions because we have a square. When things are squares, we get a positive and negative solution.
(x-4)^2 - 28 = 8
Add 28 to each side
(x-4)^2 - 28+28 = 8+28
(x-4)^2 = 36
Take the square root of each side
sqrt((x-4)^2) = ±sqrt(36)
x-4 = ±6
Add 4 to each side
x-4+4 = 4 ±6
x = 4 ±6
x = 4+6 and x = 4-6
x = 10 and x = -2
