Verified answer

3x-12=4y

3/4x-3=y

y=3/4x-3

Y-int:

y=0-3

y=-3

x=int:

0=3/4x-3

3=3/4x

4=x

A parallel line always has the same slope as the original one. -2/5 would be perpendicular to the line with the slope of 5/2.

Y intercept is -3. X intercept is 4.

y int= -3

x int = 4

cuz in order to find y int,

put 0 into x

and it's -4y=12

y= -3

for x int, put 0 into y

it's 3x=12 , x=4

and if a line has a slope of 5/2, the parallel line would have a slope of 5/2. NOT -2/5 . -2/5 is for the perpendicular line

its very easy to find the intercepts of line ist express the equation of line in two intercepts form x/a +y/b=1 where a and b are x and y intercepts . let us divide the equation by 12 on both sides we get x/4+y/3=1 so 4 and 3 are x and y intercepts respectively