Through (1,3) perpendicular to 3x+2y=5

The equation of line passing through points (1 , 3) and perpendicular to given line is  y = x +

Step-by-step explanation:

Given as :

The equation of line is 3 x + 2 y = 5

Or , 2 y = - 3 x + 5

Or , y = x +

Another line is passing through point (1 , 3) and perpendicular to given line equation

Now, From standard line equation

i.e y = m x + c

where m is the slope of the line and c is the y-intercept

Now, comparing the given line equation with standard line equation

i.e y = x +

So, The slope of line = m =  

According to question

Another line is perpendicular to the given line

So, for perpendicular property, The product of the lines = - 1

Let the sloe of another line = M

So, m × M = - 1

∴ M =

Or. M =

I.e M =

So, the slope of another line = M =

Now, equation of line passing through slope M and point (1 , 3)

I.e equation of line in slope-points

So, y - = m ( x - )

or, y - 3 = ( ) × ( x - 1 )

Or, 3 × (y - 3) = 2 × (x - 1)

Or, 3 y - 9 = 2 x - 2

Or, 3 y = 2 x - 2 + 9

Or, 3 y = 2 x + 7

∴ y = x +

So, The equation = y = x +

Hence, The equation of line passing through points (1 , 3) and perpendicular to given line is  y = x +  Answer

water molecules will move from the side of higher water concentration to the side of lower concentration until both solutions are isotonic. at this point, equilibrium is reached. in an isotonic solution, the flow of water in and out of the cell is happening at the same rate.

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step-by-step explanation: