Question

how to graph the line Y= (1/4)x - 3

Answer 1

Solution:

Given:

$y=\frac{1}{4}x-3$

To graph the line, at least the coordinates of two points are needed.

Using the x and y-intercepts;

$\begin{gathered} x-intercept: \\ when\text{ y = 0} \\ 0=\frac{x}{4}-3 \\ 0+3=\frac{x}{4} \\ 3=\frac{x}{4} \\ x=3\times4 \\ x=12 \\ x-intercept=(12,0) \end{gathered}$$\begin{gathered} y-intercept: \\ when\text{ x = 0} \\ y=\frac{1}{4}(0)-3 \\ y=0-3 \\ y=-3 \\ y-intercept=(0,-3) \end{gathered}$

Using the two points, the graph of the line is shown;