hello solving this math problem is this:
remeber when two lines are perpendicular..... " two lines are perpendicular when their slopes equal with -1 (k1 multiply k2 =-1)
and your y-intercept is (0,-2)
well you have the first euqation of the line and has the slope of 3/2=k1
so use the formula on top (k1 mult. k2 =-1)
thua subsitut k1 with 3/2
you will have (3/2mult k2=-1)
than divide both sides by 3/2
you ll have k2=-1over 3/2
k2=-2/3 so this is your slope for second equation of line
now you have the y-intercept (0,-2)
remeber also the euation of th e line through one pine is
y-y1=k2(x-x1)
subst. your y int.
y-(-2)=-2/3(x-0)
y+2=-2/3x
and finally there it is your answer y=-2/3x -2
for two line parallel is k1=k2
yur poins (0,0)
so y-0=3/2(x-0)
and the answer is y=3/2x
i hope its going to be helpful for you