The equation of the line that contains the points (3,2) and (0, -1) is; y = -x + 5
The formula to find the equation of a line using the point slope form formula is;
y - y₁ = ((y₂ - y1)/(x₂ - x1))(x - x₁)
Now, we are given the coordinates of the line as (3, 2) and (0, -1).
This means that;
x₁ = 3
x₂ = 0
y₁ = 2
y₂ = -1
Thus, the equation of the line is;
y - 2 = ((-1 - 2)/(0 - 3))(x - 3)
y - 2 = -1(x - 3)
y - 2 = -x + 3
y = -x + 3 + 2
y = -x + 5
Thus, the equation of the line that contains the points (3,2) and (0, -1) is; y = -x + 5
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