# SOLUTION: Write the slope intercept form of the equation of the line that passes through the point (7, 14), and is parallel to - 2x + 3y = 4 .

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 Question 545138: Write the slope intercept form of the equation of the line that passes through the point (7, 14), and is parallel to - 2x + 3y = 4 .Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!-2 x + 3 y = 4 Find the slope of this line make y the subject 3 y = 2 x + 4 Divide by 3 y = 2/3 x + 1.33 Compare this equation with y=mx+b slope m = 2/3 The slope of a line parallel to the above line will be the same The slope of the required line will be 2/3 m= 2/3 ,point ( 7 , 14 ) Find b by plugging the values of m & the point in y=mx+b 14 = 4 2/ 3 + b b= 28/3 m= 2/3 Plug value of the slope and b in y = mx +b The required equation is y =(2/3)x+28/ 3