Question

I don’t under stand this and I need help how to solve and plot this

Answer 1

See the attached image.

Explanation:

The equation of the line:

`y = -(2)/(3)x - 1`

is in slope-intercept form:

`y = mx + b`

where
`m` is the line's slope (rise over run), and
`b` is the line's y-intercept (the y-value when the line crosses the y-axis).

Remember that the vertical axis is the y-axis, and the horizontal axis is the x-axis.

We can identify the following attributes from the line's equation:

• 
  `\text{slope} = m = -(2)/(3)` ...
  `\text{rise} = -2`,
  `\text{run} = 3`
• 
  `\text{y-int} = b = -1`

Finally, we can use these attributes to sketch a graph the line represented by the given equation.

See the attached image for a precise sketch with the slope and y-intercept highlighted.