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Find the intersection point for the following linear functions.

f(x) = 2x + 3
g(x) = -4x − 27

A. (5,-7)
B. (5,13)
C. (-5,-10)
D. (-5,-7)

Respuesta :

Answer:

D) (-5, - 7)

Step-by-step explanation:

Because both lines intersect, they must share a point (have same x and y coordinates).

[tex]2x + 3 = - 4x - 27[/tex]

[tex]2x = - 4x - 30[/tex]

[tex]6x = - 30[/tex]

[tex]x = - 5[/tex]

Substite x for - 5 in any of the equations to find the y coordinate.

[tex]y = 2( - 5) + 3 [/tex]

[tex]y = - 10 + 3[/tex]

[tex]y = - 7[/tex]

The x coordinate for the intersection point is - 5 and the y coordinate is - 7. The intersection point is (-5, - 7)

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