Chapter 4, Problem 8PT

To determine

To write an equation in standard form for the line containing FG.

Answer to Problem 8PT

Standard form of line:

  $3x+y=26$

Explanation of Solution

Given information: Given a trapezoid EFGH. Coordinates of F & G:

  $F:(7,5)\&G:(9,-1)$

Formula used:

Here we use point slope form of line:

  $y-y_1=m(x-x_1)$

Where, slope m is:

  $m=\frac{y_2-y_1}{x_2-x_1}$

Standard form of line:

  $ax+by=c$

Calculation:

Find the slope using the given two points:

  $m=\frac{-1-5}{9-7}=-\frac{6}{2}=-3$

Let’s write the equation of line:

  $\begin{array}{l}y-y_1=m(x-x_1)\\ y-5=-3(x-7)\\ y=-3x+21+5\\ 3x+y=26\end{array}$