Which equation represents the line that passes through (–6, 7) and (–3, 6)?
y = –1/3x + 9
y = –1/3x + 5
y = –3x – 11y
y = –3x + 25

First let us find the slope.

Slope = (y₂ - y₁) / (x₂ - x₁)

For (-6, 7) and (-3, 6)

We take the first and second as (x₁ , y₁) and (x₂ , y₂)

Slope = (6 - 7) / (-3 - -6) =  -1 / (-3 + 6) = -1/3

Using y = mx + c,      Slope m = -1/3

Using the fact that the line would pass through point (-6, 7)

x = -6,  y = 7

Following y = mx + c

7 = -(1/3)*(-6) + c 

7 = 2 + c

2 + c = 7

c = 7 - 2

c = 5

Therefore y = mx + c,          m = -1/3                c = 5

y = (-1/3)x + 5

Second option from the top.

I hope this helps. 

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