SOLUTION: Plans for stadium are drawn on a coordinate grid. One wall lies on the line y=2x+3. A perpendicular wall passes through the point (4,-7). Write the equation of the line that contai

Algebra ->  Graphs -> SOLUTION: Plans for stadium are drawn on a coordinate grid. One wall lies on the line y=2x+3. A perpendicular wall passes through the point (4,-7). Write the equation of the line that contai      Log On


   

Question 804761: Plans for stadium are drawn on a coordinate grid. One wall lies on the line y=2x+3. A perpendicular wall passes through the point (4,-7). Write the equation of the line that contains the new wall
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
The equation we are looking for is perpendicular to y=2x%2B3.
look at the slope 2. to make it perpendicular you must flip it and take its opposite.
2 can be written as 2%2F1.
flip it 1%2F2.
take its opposite -1%2F2.
the new equation is
y=%28-1%2F2%29x%2Bb
Now you need to find be so plug the point (4,-7) into the above equation.
-7=%28-1%2F2%294%2Bb
-7=-2%2Bb
b=-5
now plug it into the equation.
y=%28-1%2F2%29x-5 is the new equation.