Chapter 8.7, Problem 23PPS

To determine

To calculate: To graph $y=-\frac{4}{3}x+5$ using the slope and y-intercept

Answer to Problem 23PPS

Graph for the equation is plotted.

Explanation of Solution

Given information: Equation is $y=-\frac{4}{3}x+5$

Formula Used:

Slope intercept form of line is $y=mx+c$ , where

  $m=$ Slope of graph of equation

  $c=$ y-intercept of graph of equation

Calculation:

Equation is given as

  $y=-\frac{4}{3}x+5$

Comparing the above equation to slope intercept form of line $y=mx+c$ , slope and Y-intercept are

  $\begin{array}{l}m=-\frac{4}{3}\\ c=5\end{array}$

Thus, y-intercept is at $\left(0,5\right)$ , which is the first point

Also, $m=-\frac{4}{3}$ , this means that one will rise4(up) and run3(to the left)

Thus, other point is $\left(-3,9\right)$

On plotting the graph,