Respuesta :

Solution:

Given:

[tex]y=1-3x[/tex]

This is a linear equation.

To graph a linear equation, at least two points is needed.

Hence, using the x and y-intercepts, the line can be drawn.

[tex]\begin{gathered} x-intercept: \\ when\text{ y = 0} \\ 0=1-3x \\ 0+3x=1 \\ 3x=1 \\ x=\frac{1}{3} \\ x-intercept=(\frac{1}{3},0) \\ \\ \\ \\ y-intercept: \\ when\text{ x = 0} \\ y=1-3(0) \\ y=1-0 \\ y=1 \\ y-intercept=(0,1) \end{gathered}[/tex]

The graph is shown below;

Ver imagen EvaniW432447