Question

Graph the following equation (y-1)=1/3(x)Find a point on the line and slope of the line

Answer 1

• Point: (1, 0)

,

• Slope = 1/3

Explanation:

Given the line:

`y-1=(1)/(3)x`

We are required to graph the line using the point and slope provided in the equation.

First, we find the slope and a point on the line by comparing with the slope point form of the equation of a line.

`\begin{gathered} $y-y_1=m\mleft(x-x_1\mright)$ \\ y-1=(1)/(3)(x-0)\implies\begin{cases}Slope,m=(1)/(3) \\ Point,(x_1,y_1)=(1,0)\end{cases}_{} \end{gathered}`

Next, find another point on the line.

A slope of 1/3 means