The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y– 3 = {(x - 1). What is the slope-intercept form of the equation for this line?

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Step-by-step explanation:

If a line passing through two points, then the equation of line is

It is given that the passing through (1,3) and (-9,-2).  So, equation of line in point slope form is

Slope intercept form of a line is

where, m is slope and b is y-intercept.

Now,

Therefore, the required equation is .

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.