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What is the complete point-slope equation of the line passing through the points (-2,6) and (1,1)?

User Jmz
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To find the point-slope equation of a line passing through two points, we can use the formula:

y - y₁ = m(x - x₁)

Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points, and m is the slope of the line.

Given the points (-2,6) and (1,1), we need to find the slope first. The slope (m) is calculated using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the coordinates of the points:

m = (1 - 6) / (1 - (-2))

m = -5 / 3

Now we can substitute one of the given points and the slope into the point-slope equation:

y - 1 = (-5/3)(x - 1)

This is the complete point-slope equation of the line passing through the points (-2,6) and (1,1).

User Aagman
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