Chapter 4.2, Problem 1E

To determine

To identify: the slope of the given line without simplifying and then identify one point on the line.

Answer to Problem 1E

  $\begin{array}{c}\text{Slope},m=-2\\ \text{One}\text{point},(x_1,y_1)=(-5,5)\end{array}$

Explanation of Solution

Given information: Line given by the equation $y-5=-2(x+5).$

Formula Used:

The equation of the line in the point-slope form is:

  $y-y_1=m(x-x_1)$ . Where m is the slope of the line and $(x_1,y_1)$is the point on the line.

Calculation:

Line given by the equation:

  $\begin{array}{c}y-5=-2(x+5)\\ y-5=-2(x-(-5))\\ y-y_1=m(x-x_1)(\text{Point-slope}\text{form})\\ \text{By}\text{simply}\text{comparing}\text{the}\text{above}\text{equations}\\ \text{Slope},m=-2\\ \text{One}\text{point},(x_1,y_1)=(-5,5)\end{array}$