if a point (a, a+2) lie on the line Y= 3x+5 them distance of rhe point from y axis
Answers
Step-by-step explanation:
Given :-
A point (a, a+2) lies on the line y= 3x+5
To find :-
Find the distance of the point from y-axis ?
Solution :-
Given equation is y = 3x+5
Given point = (a,a+2)
Given that
The point lies on the line
We know that
If a point lies on the line then it is a solution of the equation and satisfies the given line.
Put x = a and y = a+2 in the given equation then
=> a+2 = 3(a) +5
=> a+2 = 3a+5
=> 2-5 = 3a-a
=> -3 = 2a
=> 2a = -3
=> a = -3/2
or
a = -1.5
Therefore, The value of a = -1.5
Now, a+2 = -1.5+2 = 0.5
Now, the point = (-1.5,0.5) or (-3/2,1/2)
We know that
The distance of the point from y-axis is its abscissa(X-coordinate)
=> The coordinate of x = -1.5 or -3/2
=> -1.5 or -3/2
Answer:-
The distance of the given point from y-axis is -1.5 or -3/2
Used formulae:-
→ If a point lies on the line then it is a solution of the equation and satisfies the given line.
→ The distance of the point from y-axis is its abscissa(X-coordinate)