SOLUTION: Let L be the line defined by the vector equation v⃗ =[−4−5]+t[2−4]. Find the equation y=mx+b for L. My answer is y= -2x+13 but mark that is wrong.

Algebra ->  Linear-equations -> SOLUTION: Let L be the line defined by the vector equation v⃗ =[−4−5]+t[2−4]. Find the equation y=mx+b for L. My answer is y= -2x+13 but mark that is wrong.      Log On


   

Question 1177262: Let L be the line defined by the vector equation v⃗ =[−4−5]+t[2−4]. Find the equation y=mx+b for L.
My answer is y= -2x+13 but mark that is wrong.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

you made mistake, it's -13

v⃗ =[6, −1]+t[5, 6]. .......................v⃗ =[-4,-5]+t[2,-4]
[ x y ] = [-4,-5 ] + t[2,-4]
x=-4%2B+2t ....multipl by 2
2x=-8%2B+4t.....eq.1
y=-5-4t+.....eq.2
solve the system:
2x=-8%2B4t+
y=+-5+-4t
------------------add
2x%2By=-8%2B4t+-5-4t
2x%2By=-13
y=-2x-13