SOLUTION: A line with slope 2/3 that passes through the point (6,2) what is the equation for this problem? What is an easy trick to do these kind of problems?

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Question 796206: A line with slope 2/3 that passes through the point (6,2) what is the equation for this problem? What is an easy trick to do these kind of problems?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
The trick depends on what you studied and know so far. Best bets are slope-intercept form of a line equation and point-slope form of equation. The response question back to you could be, "what have you been taught about equations of lines?"

SOLVING THROUGH SLOPE-INTERCEPT FORM:
y=mx%2Bb, the form.
y=%282%2F3%29x%2Bb
Solve this for b.
b=y-%282%2F3%29x
Substitute values for the given point (6,2) to get the value for b.
b=2-%282%2F3%29%2A6=2-4=-2________________showing that b=-2

The equation then, in slope-intercept form, is highlight%28y=%282%2F3%29x-2%29