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drepeter86
18.12.2020 •
Mathematics
Line v passes through point (6, 6) and is perpendicular to the graph of y= x-11. Line w is parallel to line v and passes through point (-6, 10). Which
is the equation of line w in slope-intercept form?
A. y-x+2
B. y=-x+2
C.y-x+2
D.y=-x+2
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Ответ:
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Step-by-step explanation:
Ответ:
Option A is the correct answer.
Step-by-step explanation:
In this question the given parabola is (x - 3)²= y - 4
And the equation is y = -x + b
One solution of these equations lies on vertex.
Therefore we have to find the coordinates of vertex so that value of b can be measured.
We know that if a parabola is in the form of y = (x - h)²+ k
Then the coordinates of the vertex of this parabola will be (h, k).
Now our equation of parabola is y = (x-3)² + 4
Therefore the vertex will be (3, 4).
And it has been given that the vertex is y = -x + b
Therefore by putting x = 3 and y = 4 we can get the value of b.
4 = -3 + b
b = 7.
Now the second solution to the system will be
(x - 3)² = -(x - 7) - 4
x² + 9 - 6x = -x + 7 - 4
x² +9 - 6x = -x + 3
x² - 6x + x + 9 - 3 = 0
x² -5x + 6 = 0
x² - 3x - 2x + 6 = 0
x(x - 3) - 2(x - 3) = 0
(x - 3)(x -2 ) = 0
x = 3, 2
Hence y = (-3 + 7) and y = (-2 + 7)
y = 4, 5
As we know first solution is (3, 4) the second solution will be (2, 5).
Option A is the correct answer.