The general equation for slope-intercept form is y = mx + b, where m = the slope of the equation, b = the y intercept, and x and y are your variables (and the coordinate points on the graph).
Remember that for parallel lines, the slope, m, is the same for both equations. The equation you're given, y = 2x - 2, is already in slope-intercept form and the 2 in front of x is m, your slope. That means for whatever equation we come up with, m has to be 2.
So far we know the equation for our parallel line is y = 2x + b. How do we figure out b? Plug in the (x, y) coordinate you're given, (1, 1) and solve for b:

Now we know b = -1. Put that into our y = 2x + b equation to get the final equation of your parallel line:
Your final answer is y = 2x - 1.
Answer:
Step-by-step explanation:
This isn't the same thing although you will get some factors that have i in them
(x^4 - 64) factors using the difference of squares.
(x^2 - 8)(x^2 + 8) Both of these factor using the difference of squares.
(x^2 - 8): factors into (x + sqrt(8) )(x - sqrt(8) )
(x^2 - 8): factors further (x + 2*sqrt2)(x - 2sqrt(2)
(x ^2 + 8) : (x + sqrt(8)i ) (x - sqrt(8)i )
(x^2 + 8) : (x + 2sqrt(2)i) (x - 2sqrt(2)i)
Final answer
(x + 2*sqrt2)(x - 2sqrt(2)(x + 2*sqrt2)(x - 2sqrt(2)
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For a), this is clearly a given as it is literally to the right of where it says “Given:”
For b), since ON bisects ∠JOH, this means that it splits it into two separate angles - JON and HON, which are similar due to that bisects mean that it splits it equally into two halves
For c), since NO is the same thing as NO, it is equal to itself
For d), since AAS (angle-angle-side) congruence states that if there are two angles that are congruent (proved in a) and b) ) as well as that a side is congruent (proved in c) ), two triangles are congruent
For e), since two triangles are congruent, every side must have one side that it matches up to in the other triangle. As the opposite side of angle H is JO and the opposite side of angle J is OH, and ∠J=∠H, those two are congruent. As JN and HN are the two sides left, they must be congruent.
Feel free to ask further questions!