Q. 26 - Precalculus Enhanced with Graphing Utilities

Question

Graph the line containing the point P and having slope m.  

$P(1,3),m=-\frac{2}{5}$

Step-by-Step Solution

Answer

The graph is 

Step 1. Given Information

The given point is $P(1,3),m=-\frac{3}{4}$

Step 2. Explanation and Graph

We know that slope is $-\frac{2}{5}$.

We will rewrite the slope as $\frac{-2}{5}$

Since, $m=\frac{rise }{run}$that is as numerator is negative so we will move 2 units down and then as denominator is positive so move 5 units right that is the other point will be $Q(6,1)$

Next, we can rewrite the slope as $\frac{2}{-5}$.

Since numerator is positive so we will move the point $P(1,3)$, 2 units up and as denominator is negative so we will move 5 units left that is the third point will be $R(-4,5)$

Draw a line passing through all the points.