Which equation represents the line that passes through the points (6, -3) and (-4, -9).
y + 4 = 3 over 5 (x + 9)
y + 4 = 5 over 3 (x + 9)
y - 3 = 3 over 5 (x + 6)
y + 3 = 3 over 5(x - 6)

Solution:

The formula to find the slope of the line is

m = (y₂ - y₁)/ (x₂ - x₁)

The points given are (6, -3) and (-4, -9)

m = (-9 - (-3))/ (-4 - 6)

m = (-9 + 3)/ -10

m = -6/-10

So we get

m = 3/5

The point slope formula is

(y - y₁) = m (x - x₁)

Consider the point (6, -3)

y + 3 = 3/5(x - 6)

Therefore, the equation which represents the line is y + 3 = 3/5(x - 6).

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Which equation represents the line that passes through the points (6, -3) and (-4, -9).

Summary:

The equation which represents the line that passes through the points (6, -3) and (-4, -9) is y + 3 = 3/5(x - 6).