Question

PLEASE HELP!!
write in equation in slop-intercept form for the line that passes through (4,6)and is perpendicular to line given by y=2x+3

Answer 1

general linear equation
y=mx+c
m=gradient c=y-intercept

perpendicular tells us that we have to use this formula
m1 x m2 = -1
m1=gradient of equation given m1=2
m2=gradient of unknown equation we want to find

2 x m2 = -1
m2=-1/2

now substitute (4,6) and gradient m=-1/2 into the general equation y=mx+c
to find the c value and then re-write the whole equation.