Question

Graph y=1-3x or y=-3x+1

Answer 1

Given:

`y=1-3x`

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.

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

The graph is shown below;