Complete the equation of the line through (6,-6) and (8,8). Y =
1 answer:
Answer:
7x-48
Step-by-step explanation:
we want our equation to look something like this
y=mx+b
let's start by solving for m (the slope) using the slope formula
Which means, so far, our equation looks like this
y=7x+b
now we just need to solve for B
We can do this by plugging in a set of coordinates
-6=7*6+b
-6=42+b
-48=b
which means our equation is
7x-48
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9514 1404 393
Answer:
- positive
- negative
Step-by-step explanation:
The thrust of the question is to make sure you understand that increasing the y-coordinate of a point will move the point upward, and decreasing it will move the point downward.
That is adding a positive value "k" to x^2 will move the point (x, x^2) to the point (x, x^2+k), which will be above the previous point by k units.
If k is subtracted, instead of added, then the point will be moved downward.
The blanks are supposed to be filled with <u> positive </u>, and <u> negative </u>.
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<em>Comment on the question</em>
The wording of the statement you're completing is a bit odd. If k is negative (-2, for example), this statement is saying the graph is translated down -2 units. It is not. It is translated down |-2| = 2 units. The direction of translation depends on the sign of k. The amount of translation depends on the magnitude of k.
If you thoroughly understand (x, y) coordinates and how they are plotted on a graph, it should be no mystery that changing the y-coordinate will change the vertical position of the graph.
