Q. 34 - 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 $\frac{4}{3}$, Point $(-3,2)$

Step-by-Step Solution

Answer

The three additional points can be $(0,6),(3,10),(6,14)$

Step 1. Given Information

The given data is slope $\frac{4}{3}$, point $(-3,2)$

Step 2. Explanation

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

The slope is $\frac{4}{3}$ which implies that both numerator and denominator are positive, move 4 units up and 3 units to the right to get the another point.

Thus, we get the point $(0,6)$

Now, start from the point $(0,6)$ move 4 units up and 3 units to the right to get the third point. Thus, the point is $(3,10)$

Similarly, we will plot another point starting from $(3,10)$, we get, $(6,14)$ on the line.