Question

Write an equation to a linear line in standard form that is perpendicular to the line 2y- 5x = 3 and through the point(3,-1). (3pts)

Answer 1

Soin Griven that line: : 2 y - 5%=3 4 point : (3,-1) 2 y = 5x+3 y = 5 x + 3 واتم : Slope (mi) = 5 { y=mxtc 2 slope Let Mz be the slope of line perpendicular to given line m, XM₂ = -1 x2 = -1 M₂ GIN line - 2 and point 23 (3,-1) Equation of having slope by point slope form y-y, = m₂ (2-2, ) (y-ti) = -3 (2-3)

5 (9+1) = -2 (2-3) 54+5=-2x+6 : Strandrand Povin 2x + 5y = 1 ArtBy=C Which is required equation of line to perpendiculas given line.