Question 629142
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi, 
Might recommemnd downloading the FREE graph software at http://www.padowan.dk.com to check your work
y= x^2-3x-6 and y= 2x-3
(Yes on the x-intercepts for the Parabloa) PLOT points (4.37,0) and (-1.37,0)
  {{{x^2-3x-6 = 2x-3}}}   || when the line and parabola intersect!
  x^2 -5x - 3= 0
{{{x = (5 +- sqrt( 37))/(2) }}}
Yes,   x = 5.54  or x = -.54  and y = 8.08  or y = -4.08
line and parabola intersect at (5.54,8.08)  and (-.54,-4.08)
idea is for the second set were the x-values of the intersection:
<u>y-values found by substituting x's into y = 2x-3</u>
 {{{y =  2*5.54 - 3 = 8.08 }}}  and {{{y = 2*-.54 - 3 = -4.08}}}
<u>you have the Plotting idea correctly...do: over 5.54 up 8.08 PLOT Point
  and back .54 and down -4.08</u> PLOT Point
{{{drawing(300,300,   -6, 6, -6, 10, grid(1),
circle(4.37, 0,0.3),
circle(-1.37, 0,0.3),
circle(5.54, 8.08,0.3),
circle(-.54, -4.08,0.3),
graph( 300, 300, -6, 6, -6, 10,0,x^2-3x-6,2x-3))}}}