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

Solution:

The slope between two points can be calculated using

m = (y₂ - y₁)/ (x₂ - x₁)

The points given are (-6, 7) and (-3, 6)

By substituting the values

m = (6 - 7)/ (-3 + 6)

m = -1/3

Consider m as the slope and A (-3, 6) as the point

The equation of line in slope point form is

y - y₁ = m × (x - x₁)

Let us substitute the values

y - 6 = -1/3 (x + 3)

y = -x/3 - 1 + 6

y = -x/3 + 5

Therefore, the equation which represents the line is y = -x/3 + 5

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Which equation represents the line that passes through (-6, 7) and (-3, 6)?

Summary:

The equation which represents the line that passes through (-6, 7) and (-3, 6) is y = -x/3 + 5.