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?

Step-by-step explanation:

Just rewrite  y-3 = {(x - 1) as   y-3 = m(x - 1).   {(x - 1)  is not valid.

Next, solve this y-3 = m(x - 1) for y:

Adding 3 to both sides yields    y = m(x - 1) + 3, or:

y = mx - m + 3, or

y = mx + (-m + 3).  This is in slope-intercept form.

If you choose m = 2, then the equation becomes

y = 2x +(-2 + 3), or:

y = 2x + 1

Note:  to get a single answer to this question you must provide the m value.

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