a line parallel to 3x +2y - 4=0 and passing through (2;3)

Thank you very much

PS Still confused. Two lines are perpendicular if the product of their slope -1. Please detail.

Printable View

- May 23rd 2010, 11:35 AMecdino2write an equation
a line parallel to 3x +2y - 4=0 and passing through (2;3)

Thank you very much

PS Still confused. Two lines are perpendicular if the product of their slope -1. Please detail. - May 23rd 2010, 11:52 AMdwsmith
- May 23rd 2010, 12:26 PMharish21

Two lines are**perpendicular**if the**product of their slopes is -1**

and

Two lines are**parallel**if**their slopes are equal**

These should be stated in your book or should be taught by your instructor.

and the equation of a line passing through a point$\displaystyle (x_1, y_1)$ is given by:

$\displaystyle y-y_1= m(x-x_1)$ .............................(I)

Now use this above formula to find the equation of the line passing through (2,3).

------------------------------------------------------------------------------------

for the line $\displaystyle 3x +2y - 4=0$., find the slope of this line by re-writing the equation in the form of $\displaystyle y = mx+b$; where m is the slope.

so you have : $\displaystyle 3x +2y - 4=0 \implies 2y = -3x+4 \implies y = \frac{-3}{2}x + \frac{4}{3}$

so the slope of this line is $\displaystyle \frac{-3}{2}$. since the two lines are parallel, the slope of the other line should also be $\displaystyle \frac{-3}{2}$

so you have the point(2,3) and the slope m = -3/2. plug these in equation (I) to find the equation of the line.

This question is similar to the one you had posted before - May 23rd 2010, 12:27 PMlorica2000write an equation
of a line parallel to 3x +3y-4=0 passing through the point(2,3)

- May 23rd 2010, 12:32 PMharish21