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

$m=-\frac{2}{3}$

Required:

To graph the line for the given condition.

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

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

Now the graph is,

Final Answer:

The graph of the given condition is,