Q. 25 - Precalculus Enhanced with Graphing Utilities

Question

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

$P(2,4), m=-\frac{3}{4}$

Step-by-Step Solution

Answer

The graph is 

Step 1. Given Information

The given point is $P=(2,4),m=-\frac{3}{4}$

Step 2. Explanation and Graph

We know that slope is $-\frac{3}{4}$.

We will rewrite the slope as $\frac{-3}{4}$

Since, $m=\frac{rise}{run}$that is as numerator is negative so we will move 3 units down and then as denominator is positive so move 4 units right that is the other point will be $Q(6,1)$

Next, we can rewrite the slope as $\frac{3}{-4}$.

Since numerator is positive so we will move the point $P(2,4)$ 3 units up and as denominator is negative so we will move 4 units left that is the third point will be $R(-2,7)$

Draw a line passing through all the points.