Q. 54.5( 67 Votes )
In Exercises, find the equation of the line which satisfy the given conditions:
Intersecting the x-axis at a distance of 3 units to the left of origin with slope –2.
Answer :
We know that if a line L with slope m makes x-intercept d, then equation of L is
y = m(x − d).
If the distance is 3 units to the left of origin then d = -3
Given, slope, m = -2
∴ y = (-2) (x – (-3))
⇒ y = (-2) (x + 3)
⇒ y = -2x – 6
⇒ 2x + y + 6 = 0
Ans. The equation of the line is 2x + y + 6 = 0.
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Reduce the following equations into intercept form and find their intercepts on the axes.
4x – 3y = 6
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(iii) 
RS Aggarwal - Mathematics
