# find the equation of the line containing the given pair of points

(-2,-6) and (-5,-4) and how did you get the answer?

If the equation of a line is y=mx + b where m is the slope and b is the y intercept you can find the m value by finding the slope between these two points.

Slope = the rise over the run or the change in y over the change in x

take the y values first -6 to -4 is a rise of 2.

take the x values next - 2 to -5 is a run of -3

so your m value is -2/3x

The easiest way to find the y intercept is to plot points until this crosses the y-axis.

You will find the y intercept is -22/3 which is your b value.

The equation for the line is y=-2/3x -22/3
answered May 12, 2011 by Level 4 User (5,340 points)

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