How to find the slope of a line parallel to 3x-2y=1?
First off, find the slope of this line:
2y = 3x-1
y = 3/2 x - 1/2
So, y = 3/2 x + k
will be parallel, for any value of k
To find the slope of a line parallel to another line, you need to determine the slope of the given line. In this case, we are given the equation of a line, 3x - 2y = 1.
To find the slope of this line, we need to rearrange the equation into slope-intercept form, which is in the form of y = mx + b, where m represents the slope.
Let's start by isolating the term with y:
3x - 2y = 1
-2y = -3x + 1
Next, we want to solve for y:
y = (-3x + 1) / -2
Now, we can see that the slope of the given line is -3/2.
To find the slope of a line parallel to this, remember that parallel lines have the same slope. Therefore, the slope of a line parallel to 3x - 2y = 1 is also -3/2.