# The line L1 has equation 4y+3=2x. The point A (p,4) lies on L1. How do you find the value of the constant p?

Dec 15, 2016

Value of constant $p$ is $9.5$.

#### Explanation:

As the point $A \left(p , 4\right)$ lies on L1, whose equation is $4 y + 3 = 2 x$. if we substitute values of $x$ and $y$ given by the coordinates of $A$, it should satisfy the equation.

i.e. $4 \times 4 + 3 = 2 \times p$

or $16 + 3 = 2 p$

or $2 p = 19$

i.e. $p = \frac{19}{2} = 9.5$

Hence, value of constant $p$ is $9.5$.