SOLUTION: Write the equation of the line L satisfying the given geometric conditions. For Problems 36 and 40, refer to Example 5 (p 631) for the solution of similar problems. Recall that p
Algebra ->
Linear-equations
-> SOLUTION: Write the equation of the line L satisfying the given geometric conditions. For Problems 36 and 40, refer to Example 5 (p 631) for the solution of similar problems. Recall that p
Log On
Question 88085: Write the equation of the line L satisfying the given geometric conditions. For Problems 36 and 40, refer to Example 5 (p 631) for the solution of similar problems. Recall that parallel lines have identical slopes – they only differ in their y-intercept – for Problem 36. Problem 40 requires that you find the slope of the line that is perpendicular to the one represented by the given equation.
L has y-intercept (0, 2) and is perpendicular to the line with equation:
2x – 3y = 6.
You can put this solution on YOUR website! Perpendicular lines have slopes which are negative reciprocals of each other.
So, the first step is to find the slope of the given line:
Put it in y=mx+b form:
Now, you can just read off the slope from the equation. It is 2/3.
So the line L, since it is perpendicular to this line, will have a slope
which is the negative reciprocal of 2/3.
They are already giving you the Y-intercept, which is 2. So you are ready to write out the equation of the line:
Good Luck,
tutor_paul@yahoo.com
