Q. 99 - Precalculus Enhanced with Graphing Utilities

Question

$0.2x-0.5y=1$

(a) find the intercepts of the graph of equation 

(b) graph the equation.

Step-by-Step Solution

Answer

Part (a) x-intercept: 5; y-intercept: $-2$

Part (b) Graph of the equation, $0.2x-0.5y=1$

Part (a) Step 1. Given information

Equation of a line:$0.2x-0.5y=1$

Part (a) Step 2. Finding the x-intercept

To find the x-intercept, put $y=0$

$0.2x-0.5\left(0\right)=1$

$0.2x-0=1$

$\frac{x}{5}=1$

$x=5$

Part (a) Step 3. Finding y-intercept

To find the y-intercept, put $x=0$

$0.2\left(0\right)-0.5y=1$

$0-0.5y=1$

$-\frac{y}{2}=1$

$y=-2$

Part (b) Step 1. Graphing the equation

Graphing the equation, using the intercepts found above: