Question

Equation for this line in point slope form is?Equation for this line in slope intercept form?

Answer 1

Given

The line x+2y=9.

To find:

The equation of the line perpendicular to x+2y=9, and passing throught he point (4,-7).

Step-by-step explanation:

It is given that,

The line x+2y=9.

Then,

The line perpendicular to x+2y=9 is,

`2x-y=k\text{ \_\_\_\_\_\lparen1\rparen}`

Since it passes through (4,-7).

Then,

`\begin{gathered} (1)\Rightarrow2(4)-(-7)=k \\ \Rightarrow8+7=k \\ \Rightarrow k=15 \end{gathered}`

Hence, the equation of the required line is 2x-y=15.

Also, the equation of the line in slope intercept form is, y = 2x-15.