#### The line l_1 has equation y = 3x + 2 and the line l_2 has equation 3x + 2 y – 8 = 0.

The point of intersection of l_1 and l_2 is P.

(i) Find the coordinates of P.

Anonymous

0

The point of intersection of l_1 and l_2 is P.

(i) Find the coordinates of P.

Krishna

0

Step 1: Do some algebra to find the x-coordinate at the point of intersection:

EXAMPLE: y = 2x + 3, y = -0.5x + 7

Setting the two y-coordinates equal looks like this:

2x + 3 = -0.5x + 7 We start here.

2.5x + 3 = 7 Add 0.5x to each side.

2.5x = 4 Subtract 3 from each side

.x = 4/2.5 Divide each side by 2.5.

x = 1.6 Divide 4 by 2.5.

Step 2: Find the y-coordinate.

NOTE: The y-coordinate can be found by placing the x-coordinate, into

either of the equations for the lines and solving for y.

Step 3: You now have the x-coordinate and y-coordinate for the point of intersection.

NOTE: As a check for your work plug the x-coordinate into the other

equation and you should get the same y-coordinate.