Question

Line PQ intersects Y-axis in (0,3) with slope $-$$\frac{1}{2}$ write the equation of line PQ.

Answer 1

Here, the point (0, 3) lies on the line and slope, m = $-$$\frac{1}{2}$.

Equation of the line in point slope form is given by
y $-$ y₁ = m (x $-$ x₁)
⇒ y $-$ 3 =$-$$\frac{1}{2}$ (x $-$ 0)
∴ y = $-$$\frac{1}{2}$x + 3, which is the required equation.