Respuesta :

Answer:

y = (1/3)x - 9

Step-by-step explanation:

We know that m = 1/3

The function will be in the form:

y = (1/3)x + b

Let's find b by plugging in the coordinates of the point, in the function:

-7 = (1/3)*6 + b

b = -9

Therefore:

y = (1/6)x - 9

Answer:

[tex]y + 7 = \frac{1}{3} (x - 6)[/tex]

Step-by-step explanation:

using equation y=mx+c where y is -7, x is 6 and m is 1/3

equate them in the equation to work out c

[tex]y = mx + c[/tex]

[tex]- 7 = \frac{1}{3} (6) + c[/tex]

1/3 × 6 is 2

[tex]- 7 = 2 + c[/tex]

subtract 2 on both sides to find c

[tex]- 7 - 2 = c[/tex]

[tex]c = - 9[/tex]

The equation is

[tex]y = \frac{1}{3} x - 9[/tex]

based out of the following options you have:

i would expand each equation you have and equate it in y=mx+c to see where you have the same equation as above.

It looks like the third option is correct:

writing out the third option

[tex]y + 7 = \frac{1}{3} (x - 6)[/tex]

expanding the right side my multiplying. 1/3 × x is 1/3x. 1/3 × -6 is -2

[tex]y + 7 = \frac{1}{3} x - 2[/tex]

subtract 7 on both sides so you have y on its own

[tex]y = \frac{1}{3} x - 2 - 7[/tex]

[tex]y = \frac{1}{3} x - 9[/tex]

so the third option is the same equation as y=1/3x - 9

answer:

[tex]y + 7 = \frac{1}{3} (x - 6)[/tex]