Mathematics: On a piece of paper, graph this system of equations. y = x – 2 y = x2 – 5x + 6 Then determine which answer choice matches the graph you drew and identify the solutions to the system. A. Solutions: (2, 0) and (3, –1) B. Solutions: (2, 0) and (3, 0) C. Solutions: (2, 0) and (5, 3) D. Solutions: (2, 0) and (4, 2)

On a piece of paper, graph this system of equations.

samanthasheets8006

19.01.2022

For this case we have the following system of equations:

$y = x-2\\y = x ^ 2-5x + 6$

Matching we have:

x ^ 2-5x + 6 = x-2

We manipulate algebraically:

$x ^ 2-5x-x + 6 + 2 = 0\\x ^ 2-6x + 8 = 0$

To factor, we look for two numbers that, when multiplied, result in +8 and when added, result in -6. These numbers are -4 and -2.

(x-4) (x-2) = 0

Thus, we have to:

$x_ {1} = 4\\x_ {2} = 2$

We find the values of the variable y:

$y_ {1} = x_ {1} -2 = 4-2 = 2\\y_ {2} = x_ {2} -2 = 2-2 = 0$

So the solutions are:

(4,2) and (2,0)

Option D

See attached image

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mileto5824

07.07.2022

The slope is -4/5

Step-by-step explanation:

points are at (-3,1) and (2,-3)

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