Find the coordinates of the orthocentre of the triangle whose sides are [math]L1:3x-2y-6=0[/math] , [math]L2:3x+4y+12=0[/math] and [math]L3:3x-8y+12=0[/math].
Write the General Form of a Straight Line.
Write the formula for slope and intercepts of a line using coefficient of general form.
[math]slope=\frac{-b}{a};x-intercept=\frac{-c}{a};y-intercept=\frac{-c}{b}[/math]
Write x-intercept, y-intercept and slope of the line [math]L1:3x-2y-6=0[/math] .
[math]slope=\frac{2}{3};x-intercept=2;y-intercept=-3[/math].
Write x-intercept, y-intercept and slope of the line [math]L2:3x+4y+12=0[/math] .
[math]slope=\frac{-4}{3};x-intercept=-4;y-intercept=-3[/math].
Write x-intercept, y-intercept and slope of the line [math]L3:3x-8y+12=0[/math]
[math]slope=\frac{8}{3};x-intercept=-4;y-intercept=1.5[/math].
Write the intersection point of L1 and L2.
Write the intersection point of L2 and L3.
Write the intersection point of L1 and L3.
Write equation of the altitude of the line L1.
Write equation of the altitude of the line L2.
Write equation of the altitude of the line L3.
Write the coordinates of the orthocentre.
[math]\left(\frac{-1}{6},\frac{-23}{9}\right)[/math]