the line passing through point (-3 , 0) with slope -3/2
To find the equation of the line passing through point (-3, 0) with slope -3/2, we can use the point-slope form of a line.
The point-slope form of a line is given by:
y - y₁ = m(x - x₁)
Where (x₁, y₁) represents the coordinates of a point on the line, m represents the slope of the line, and (x, y) represents any other point on the line.
Using the given point (-3, 0) and slope -3/2, we can plug the values into the point-slope form:
y - 0 = (-3/2)(x - (-3))
Simplifying the expression:
y = (-3/2)(x + 3)
Expanding the expression:
y = (-3/2)(x) - (3/2)(3)
y = (-3/2)x - 9/2
Therefore, the equation of the line passing through point (-3, 0) with slope -3/2 is y = (-3/2)x - 9/2.