Question

Graph the line that passes through the points (-5, 3) and (−1,−1) and determine the equation of the line.

Answer 1

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

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Therefore, we have;

$Slope, \, m =\dfrac{-1 - 3}{-1 - (-5)} = \dfrac{-4}{4} = -1$

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:

brainly.com/question/2088114