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3 years ago

Let f(x)=2/3x+4 and g(x)=kx+6 . For which value of will the x-intercept of f() be equivalent to the x-intercept of g()?

Mathematics

1 answer:

Komok [63]3 years ago

3 0

0=(2/3)x +4

multiply by 3

0=2x +12

x =-6

(2/3)x +4 =0

2x +12 = 0

x =-6 = the x intercept

(2/3)x + 4 = kx +6

(2/3- k)x = 2

multiply by 3

(2-3k)x = 6

(2-3k)(-6) = 6

2-3k =-1

3k= 3

k = 1 makes the 2nd equation have the same x intercept = -6 or the point (-6,0)

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$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

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