SOLUTION: A line with slope -2 passes through the point (3, 7). Find the area of the triangle in the first quadrant formed by this line and the coordinate axes.

Algebra ->  Proportions  -> Lessons -> SOLUTION: A line with slope -2 passes through the point (3, 7). Find the area of the triangle in the first quadrant formed by this line and the coordinate axes.       Log On


   

Question 1044990: A line with slope -2 passes through the point (3, 7). Find the area of the triangle in the first quadrant formed by this line and the coordinate axes.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y-7=-2%28x-3%29
y-7=-2x%2B6
2x%2By=13

Let y=0.
x=13%2F2

Let x=0.
y=13

The Origin is where the right angle.

Triangle area, %281%2F2%29%2813%2F2%29%2A13
highlight%28169%2F4%29