Please help me out with this !!!!!!!

Mathematics

1 answer:

laila [671]3 years ago

8 0

Answer:

y = 2x - 1

Step-by-step explanation:

Consider the differences between consecutive values of y. If constant then this value is the multiplier.

1 - (- 1) = 3 - 1 = 5 - 3 = 7 - 5 = 9 - 7 = 2 ← constant difference, hence

y = 2x

Given the point (0, - 1 ) then we require to subtract - 1, that is

y = 2x - 1 ← equation relating x and y

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Find the coordinates of the missing endpoint if P is the midpoint of Line Segment NQ.

dimaraw [331]

Midpoint formula is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ .

So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such: $\frac{x+2}{2}=5$ From here we can solve for the x-coordinate of Q.

Firstly, multiply both sides by 2: $x+2=10$

Next, subtract both sides by 2 and your x-coordinate is $x=8$

With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.

$\frac{y+0}{2}=2\\ y=4$