# SOLUTION: Could you please help me answer this question? Find the equation for the line that passes through the point (4,-2), and that is perpendicular to the line with the equation 3/4x-3y=

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: Could you please help me answer this question? Find the equation for the line that passes through the point (4,-2), and that is perpendicular to the line with the equation 3/4x-3y=      Log On

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 Click here to see ALL problems on Linear-equations Question 420079: Could you please help me answer this question? Find the equation for the line that passes through the point (4,-2), and that is perpendicular to the line with the equation 3/4x-3y=-3. I have tried but seem to get stuck when it comes to fractions and solving for y. Any help is much appreciated! Thank you.Found 2 solutions by ankor@dixie-net.com, mananth:Answer by ankor@dixie-net.com(15656)   (Show Source): You can put this solution on YOUR website!Find the equation for the line that passes through the point (4,-2), and that is perpendicular to the line with the equation 3/4x-3y=-3. : Find the slope of the given equation, put it in the slope/intercept form; y= mx+b x - 3y = -3 -3y = x - 3 : y has to be positive, multiply by -1 3y = x + 3 divide eq by 3 y = x + 1 Reduce fraction y = x + 1 : the slope of the given equation: m1 = the slope relationship of perpendicular lines: m1*m2 = -1 Find m2 *m2 = -1 multiply both sides by 4 m2 = -4 is the slope of line perpendicular to the given equation : use the point/slope form to find the perpendicular line: y - y1 = m(x - x1) we have: x1 = 4, y1 = -2, m = -4 y - (-2) = -4(x - 4) y + 2 = -4x + 16 y = -4x + 16 - 2 y = -4x + 14, is the equation of the perpendicular line Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!¾ x - 3 y = 3 Find the slope of this line 3 y = ¾ x -3 Divide by 3 y = 0.25 x -1 Slope = 0.25 The slope of a line perpendicular to the given line will be the negative reciprocal m1*m2=-1 The slope of the required line will be -4 m=-4 ,point ( 4 , -2 ) Find b by plugging the values of m & the point -2 = -16 + b b= 14 The required equation is y = -4 x + 14