find the equation of Line L in standard form L is parallel to Y=1/3X. Both lines are diagonal to each other. The other points are (2,5)
Hi grettadoty,
Find the equation of line L in standard form.
I added the period to make it a sentence.
L is parallel to y = 1/3 x.
I understand this part.
Both lines are diagonal to each other
I don't know what that means.
The other points are (2, 5)
This is just one point.
I'm going to assume you want to find the equation of line L which passes through point (2, 5) and is parallel to y = 1/3 x. Am I close?
If so,
The slope of y = 1/3 x is 1/3. So this means that the slope of any line parallel to it will also be 1/3.
Now use the point-slope form of the general equation to start with, using m = 1/3 and (x1, y1) = (2, 5)
$\displaystyle y-y_1=m(x-x_1)$
$\displaystyle y-5=\frac{1}{3}(x-2)$
$\displaystyle 3y-15=x-2$
$\displaystyle x-3y=-13$ Standard Form