Question 209092
A line perpendicular to x+3y=6 and passing though (-3,5)
4y=-x+6
y=-x/4+6/4
y=-x/4+1.5 (red line)
this line has a slope=-1/4.
A perpendicular line has a slope=4
Y=mX+b
5=4*-3+b
5=-12+b
b=5+12
b=17 the y intercept.
y=4x+17 (green line) is the equation for the perpendicular line passing through (-3,5)
{{{ graph( 300, 300, -20, 20, -20, 20, -x/4 +1.5, 4x +17) }}} (graph 300x300 pixels, x from -20 to 20, y from -20 to 20, of TWO functions -x/4 +1.5 and 4x +17).