Chapter 8.8, Problem 43HP

To determine

Write the equation in point slope form for the line that passes through the points.

Answer to Problem 43HP

The equation in point slope form for the line that passes through the point it,

  $y=-x$ .

Explanation of Solution

Given:

Concept Used:

Calculation:

Using $\left(-2,2\right)$ and $\left(-1,1\right)$

For the Slope

Slope $=\frac{1-2}{-1--2}=\frac{1-2}{-1+2}=\frac{-1}{1}=-1$

Use the point-slope form.

  $\begin{array}{l}y-y_1=m\left(x-x_1\right)\\ y-2=-1\left(x--2\right)\\ y-2=-\left(x+2\right)\\ y-2=-x-2\\ y=-x-2+2\\ y=-x\end{array}$

Conclusion:

Hence, the equation in point slope form for the line that passes through the point it,

  $y=-x$ .