Chapter 9.3, Problem 25IP

To determine

To name: Two additional points on a line.

Answer to Problem 25IP

Two additional points on a lineare $\left(3,3.5\right)$ and $\left(4,4\right)$

Explanation of Solution

Given information:

The following point which lies on the line:

  $\text{(2,3)}$

Slope of the line = $\frac{1}{2}$

Calculation:

Since the slope is $\frac{1}{2}$ , for every 1 unit increase in x- coordinate, there will be a $\frac{1}{2}$ unit increase in the y -coordinate.

Therefore, two additional point on the line can be obtained as follows:

  $\begin{array}{l}\\ \left(\text{2+1,3+}\frac{1}{2}\right)[\text{Add 1 to }x\text{ coordinate an 1/2 to }y\text{ coorinate]}\\ =\left(3,3.5\right)[\text{Simplify]}\\ \\ \left(3+1,3.5+\frac{1}{2}\right)[\text{Add 1 to }x\text{ coordinate an 1/2 to }y\text{ coorinate]}\\ =\left(4,4\right)[\text{Simplify]}\end{array}$