Find the equation of the line thru (1-1) that is parallel to 3x+2y=1
There are two different ways on finding the equation of the line. Pick the one that is better for you:
First Way
First solve the equation for y. You should get . If the lines are parallel, then the new line with have the same slope. Since the new line must pass through (1,-1), we can substitute these values into the point-slope form of a line.
Point slope form:
Second Way
First solve the equation for y. You should get . If the lines are parallel, then the new line with have the same slope. We can substitute the value of the slope into the slope intercept form of a line:
Slope intercept form:
.
To find b, plug in the point (1,-1)
.
Thus the equation of the line is .
Hope this helped you out!