Question

Draw the graph of 2x+3y=13. Find the points where the line meet the two axes​

Answer 1

Answer:

x=2 and y=3 if x=2, then 4 plus 9 =13ans

Answer 2

Answer:

Equation of a line with slope m-

y=mx+c⟶(i)

Equation of line L

1

-

2x=3y+13{Given}

⇒3y=2x−13

⇒y=

3

2

x−

3

13

⟶(ii)

Comparing eq

n

(i)&(ii), we have

slope of line L

1

(m

1

)=

3

2

Let another line be L

2

with slope m

2

.

As both the line L

1

&L

2

meets at right angle at point Q.

∴m

1

.m

2

=−1

⇒m

2

=

m

1

−1

⇒m

2

=

(

3

2

)

−1

{∵m

1

=

3

2

}

⇒m

2

=

2

−3

Equation of a line with slope

′

m

′

passing through a point (x

1

,y

1

)-

(y−y

1

)=m(x−x

1

)

As the line L

2

passes through origin, i.e. (0,0) and has slope m

2

=

2

−3

, equation of line L

2

will be-

(y−0)=

2

−3

(x−0)

⇒2y+3x=0⟶(iii)

Solving eq

n

(ii)&(iii), we get

x=2&y=−3

Hence, both the lines meets at point (2,−3)