Respuesta :

A line can be drawn by joining the plot of the two given points

  • Please find attached the graph of the line created with MS Excel
  • The equation of the line is y = -x - 2

Reason:

Given points on the line are (-5, 3) and (-1, -1)

  • From the given points, the graph of the line can be plotted with MS Excel

The slope, m, of the line is given as follows

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, we have;

[tex]Slope, \, m =\dfrac{-1 - 3}{-1 - (-5)} = \dfrac{-4}{4} = -1[/tex]

The equation of the line in point and slope form is therefore;

y - 3 = -1·(x - (-5) = -x - 5

In slope and intercept form, we have;

y = -x - 5 + 3 = -x - 2

  • The equation of the line in  slope and intercept form is y = -x - 2

Learn more here:

https://brainly.com/question/2088114

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