Q. 100 - Precalculus Enhanced with Graphing Utilities

Question

$-0.3x+0.4y=1.2$

(a) find the intercepts of the graph of equation 

(b) graph the equation.

Step-by-Step Solution

Answer

Part (a) x-intercept: $-4$; y-intercept: 3

Part (b) Graph of the equation, $-0.3x+0.4y=1.2$

Part (a) Step 1. Given information

Equation of a line: $-0.3x+0.4y=1.2$

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

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

$-0.3x+0.4\left(0\right)=1.2$

$-0.3x+0=1.2$

$x=-\frac{1.2}{0.3}$

$x=-4$

Part (a) Step 3. Finding y-intercept

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

$-0.3\left(0\right)+0.4y=1.2$

$0+0.4y=1.2$

$y=\frac{1.2}{0.4}$

$y=3$

Part (b) Step 1. Graphing the equation

Graphing the equation, using the intercepts found above: