Question

Use the x and y intercepts to sketch a graph of each equation, 5. x + 4y = 8 6. 3x - 4y = 247.5x = 20 8.-3y=9

Answer 1

First, we determine the x and y-intercepts.

x-intercept

$\begin{gathered} \text{When y=0} \\ x+4y=8 \\ x+4(0)=8 \\ x=8 \\ We\text{ have the point: (8,0)} \end{gathered}$

y-intercept

$\begin{gathered} \text{When x=0} \\ x+4y=8 \\ 0+4y=8 \\ 4y=8 \\ y=\frac{8}{4}=2 \\ We\text{ have the point: (0,2)} \end{gathered}$

Next, we sketch the graph of x + 4y = 8.