The intercept of the line having equation 5y = 7x is--------
a)5
b)2
c)0
d)7
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Explanation:
We know that, equation of line whose slope and y - intercept is given by :
y=mx+c, where m is the slope and c is the y - intercept
Using the above and converting to this, we find
(i) x−2y−1=0
2y=x−1
⇒y=(
2
1
)x+(
2
−1
)
Hence , slope =
2
1
and y - intercept =
2
−1
(ii) 4x−5y−9=0
5y=4x−9
⇒y=(
5
4
)x+(
5
−9
)
Hence, slope =
5
4
and y - intercept =
5
−9
(iii) 3x+5y+7=0
5y=−3x−7
⇒y=(
5
−3
)x+(
5
−7
)
Hence, slope =
5
−3
and y - intercept =
5
−7
(iv)
3
x
+
4
y
=1
(
12
4x+3y
)=1
4x+3y=12
3y=−4x+12
⇒y=(
3
−4
)x+4
Hence, slope =
3
−4
and y - intercept =4
(v) y−3=0
y=3
⇒y=(0)x+3
Hence, slope =0 and y - intercept =3
(vi) x−3=0
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