KCET 2015 Math Solved Paper

Given line, 3x+y=3
⇒y=−3x+3
So, slope of this line is m1=−3
Then, slope of line perpendicular to this line is m2=

1

3

General equation line passing through point (x1,y1) is
(y−y1)=m(x−x1)
Here m=‌

1

3

and (x1,y1)=(2,2). So,
y−2=‌

1

3

(x−2)
⇒y−2=‌

x

3

−‌

2

3

⇒y=‌

x

3

+2−‌

2

3

⇒y=‌

x

3

+‌

4

3

So, y-axis intercept is,

4

3