The Line L1 passes through the point (9, -4) and has gradient 1/3. (a) Find an equation for L1 in the form ax+by+c=0 where a, b and c are integers. The line L2 passes through the origin, O, and has gradient -2. The lines L1 and L2 intersect at the point P. (b) Calculate the coordinates of P. Given that L1 crosses the y-axis at the point C. (c) Calculate the exact area of triangle OCP. can you help me with c)

Question

The Line L1 passes through the point (9, -4) and has gradient 1/3.   (a) Find an equation for L1 in the form ax+by+c=0 where a, b and c are integers.   The line L2 passes through the origin, O, and has gradient -2. The lines L1 and L2 intersect at the point P.   (b) Calculate the coordinates of P.   Given that L1 crosses the y-axis at the point C.   (c) Calculate the exact area of triangle OCP.  can you help me with c)

amistre64 · Answer

you can form the point slope forms of the lines, and use them in a system of equations to find P.

exact area of the triangle is what you need help with

amistre64 · Answer

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