Question

A line is perpendicular to y = - {x + 7and intersects the point (4,2).What is the equation of thisperpendicular line?y = 3x + [?]

Answer 1

The equation of the perpendicular line is given as

`y=3x+\text{?}`

It goes through the point (4, 2). Lets substitute and find the equation.

`\begin{gathered} y=3x+\text{?} \\ 2=3(4)+\text{?} \\ 2=12+\text{?} \\ So,\text{ ?=-10} \\ \\ \text{Equation of Line} \\ y=3x-10 \end{gathered}`

Answery = 3x - 10