Hello,Originally Posted by devilicious
to 1.: Integrate dy/dx and you'll get:
Plug in the values you know and solve for c. You'll get c=6. So the equation of your function reads:
to 2.: Use the slope-point-formula and you'll get : l2: y=-2x. Plug in this term for y into the 2nd equation: -2x=1/3x-7. Solve for x. x = 3. Sub in this value in one of the two equations and you'll get y = -6. So the coordinates of P are (3, -6).
to 3.: C has the coordinates (0, -7). Therefore the base of the triangle lies on the y-axis and has a length of 7. The height of the triangle is the x-value of point P. Now use the formula for the area of a triangle: