# SOLUTION: find the equation of a line for this points (6,2) and is parallel to the line 2x-3y=-3

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 Click here to see ALL problems on Functions Question 65209: find the equation of a line for this points (6,2) and is parallel to the line 2x-3y=-3Found 2 solutions by funmath, stanbon:Answer by funmath(2925)   (Show Source): You can put this solution on YOUR website!find the equation of a line for this points (6,2) and is parallel to the line 2x-3y=-3 In order to find the equation of a line, you need a point and a slope. We were given a point. What about the slope? Well, parallel lines have equal slopes. Therefore, if we find the slope of the equation of the line that they gave us, we'll have the slope we need. In order to find the slope of an equation, we need to put the equation into slope-intercept form. , m=slope. The slope we need is m=2/3 Now that we have a point and a slope, we can find the equation of the line using the point-slope formula: , where m=slope and (x1,y1) is the given point. m=(2/3) and (x1,y1)=(6,2) Happy Calculating!!! Answer by stanbon(57203)   (Show Source): You can put this solution on YOUR website!find the equation of a line for this points (6,2) and is parallel to the line 2x-3y=-3 The given line has a slope of m=2/3 The equation you want is y=mx+b where y=2 when x=6 and m=2/3 ---------- 2=(2/3)6+b b=-2 EQUAtiOn: y=(2/3)x-2 Cheers, Stan H.