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Answer:
(2, 3)
Step-by-step explanation:
Compare the given equation ...
y = (x -2)^2 +3
to the vertex form ...
y = (x -h)^2 +k
You can see that h=2 and k=3.
The vertex of the parabola is (h, k) = (2, 3).
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2 answers:
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Answer:
Step-by-step explanation:
<u>Slope-intercept form of a linear equation:</u>
where:
- m is the slope.
- b is the y-intercept.
<u>Rearrange</u> the given equation so that it is in <u>slope-intercept form</u>:
Therefore, the slope of the given equation is -⁵/₇.
If two lines are <u>perpendicular</u> to each other (at right angles), the <u>product of their slopes</u> will be -1. Therefore, their slopes will be negative reciprocals of each other.
Therefore, the slope of the line perpendicular to the given equation is:
<u>Substitute</u> the found <u>slope</u> and the <u>given point</u> (6, -5) into the <u>slope-intercept formula</u> and solve for b:
<u>Substitute</u> the found slope and the found value of b into the <u>slope-intercept formula</u> to create the equation for the <u>perpendicular line</u>:
Learn more about slope-intercept form here:
Answer:
y=4/3 -1
Step-by-step explanation:
A linear equation would be y=mx+b.
The b is the y-intercept which in this case would be -1.
There are two ways to find m (slope) rise over run or the way I'm about to do.
Take the two points (3,3) and (0,-1)
That would make m = 4/3.