Question

Graph the line with a y-intercept of (0, -1) whose slope is m=-2/3

Answer 1

Given:

y-intercept of the line is (0,-1).

Slope is

`m=-(2)/(3)`

Required:

To graph the line for the given condition.

Step-by-step explanation:

First we have to find the line equation.

We know the equation for the line is,

`y-mx+c`

Where m is the slope of the line and c is y-intercept.

Therefore, with slope is m=-2/3vand y-intercept c=-1.

The equation of the line is

`\begin{gathered} y=mx+c \\ \\ y=(-(2)/(3))x+(-1) \\ \\ y=-(2)/(3)x-1 \end{gathered}`

Now the graph is,

Final Answer:

The graph of the given condition is,