Answer: y=3x-18
Explanation:
So the first line that goes through (0,2) and (6,0) is y=(-1/3)x+2
You can calc the slope between (0,2) and (6,0) and the (0,2) gives you the intercept of 2.
Now for line B - - - The slope of the perpendicular line is negative inverse: =3. (-1/3) ----> take the negative of negative 1/3 and it's positive 1/3, and now the inverse is 3.
The general equation for any perpendicular line through the equation we figured out in part A is y=3x+c, where c is your constant (y intercept) which is labeled R.
We can plug in the known point (6,0) in that equation y=3x+c and solve for C to figure out R.
0=3*6+c
0=18+c , so c must equal -18.
Now try out -18 in the equation to see if it works:::
y=3x-18
0=3*6-18
0=18-18
0=0