Line L has equation #2x- 3y=5#. Line M passes through the point (3, -10) and is parallel to line L. How do you determine the equation for line M?
See a solution process below:
Line L is in Standard Linear form. The standard form of a linear equation is:
Where, if at all possible,
The slope of an equation in standard form is:
Substituting the values from the equation into the slope formula gives:
Because line M is parallel to line L, Line M will have the same slope.
We can now use the point-slope formula to write an equation for Line M. The point-slope formula states:
Substituting the slope we calculated and the values from the point in the problem gives:
If necessary for the answer we can transform this equation to the Standard Linear form as follows: