SOLUTION: Indicate in standard form the equation of the line passing through the given points. P(6, 2), Q(8, -4)

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Question 741576: Indicate in standard form the equation of the line passing through the given points.
P(6, 2), Q(8, -4)
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
slope m=%28-4-2%29%2F%288-6%29=-6%2F2=-3

Pick either point and use the ordered pair values in slope-intercept form of equation:
Picking P(6,2),
y=mx%2Bb, general way to show slope intercept form of line equation.
2=-3%2A6%2Bb, where b is the y-intercept.
b=2%2B3%2A6
b=20

You want equation in standard form, but we can more quickly write the slope-intercept form. Not a problem. We can convert into standard form:

y=mx%2Bb
y=-3x%2B20
highlight%283x%2By=20%29, just by adding +3x to both sides. In other examples, sometimes a couple more steps are needed.