Q. 31 - Precalculus Enhanced with Graphing Utilities

Question

The slope and a point on a line are given. Use this information to locate three additional points on the line. Answers

may vary.

Slope 4, Point $(1,2)$

Step-by-Step Solution

Answer

The three additional points can be $(2,6),(3,10),(4,14)$

Step 1. Given Information

The given data is slope 4, point $(1,2)$

Step 2. Explanation

The slope of a non vertical line is $m=\frac{rise }{run}$

The slope is 4 which means that for every horizontal movement or run of 1 unit, there will be corresponding vertical movement or rise of 4 units.

Start at the given point move 1 unit horizontally to the right and 4 units vertically up to get the first point on the line that is $(2,6)$

Now, move point$(2,6)$,1 unit horizontally to the right and 4 units vertically up to get the second point on the line that is $(3,10)$ and further move this point, 1 unit horizontally to the right and 4 units vertically up to get the third point on the line that is $(4,14)$