Answer:
The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0
Step-by-step explanation:
Given equation of line as
x + 5 y = 30
Now, equation of line in standard form is y = m x + c
where m is the slope
So, x + 5 y = 30
Or, 5 y = - x + 30
Or, y = - x + 6
So, Slope of this line m = -
Again , let the slope of other line passing through point (1 , 0) is M
And Both lines are perpendicular , So , products of line = - 1
i.e m × M = - 1
Or, M = -
Or, M = - 1 × - =
So, equation of line with slope M and points (1, 0) is
y - = M × (x -
)
Or, y - ( 0 ) = × ( x - 1 )
Or, y = x -
× 1
Or, y = x -
or, y + =
x
Or, 5×y + 1 = x
∴ 5 y + 1 = x
I.e x - 5 y - 1 = 0
Hence The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0 Answer
