SOLUTION: Find the equation for the line 𝐿 (graphed in red) in the figure below. Note the 𝑥 -coordinate of the point 𝑄 is 2, 𝑦 -coordinate of the point 𝑃 is 11, and the pa

Algebra ->  College  -> Linear Algebra -> SOLUTION: Find the equation for the line 𝐿 (graphed in red) in the figure below. Note the 𝑥 -coordinate of the point 𝑄 is 2, 𝑦 -coordinate of the point 𝑃 is 11, and the pa      Log On


   

Question 1151864: Find the equation for the line 𝐿
(graphed in red) in the figure below. Note the 𝑥
-coordinate of the point 𝑄 is 2, 𝑦
-coordinate of the point 𝑃 is 11, and the parabola (graphed in blue) has equation 𝑦=𝑥2+3
https://imgur.com/1y8CdYq
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Use the curve for y=x^2+3 to find the y coordinate of Q and the x coordinate of P.

Q:
2^2+3=y
4+3=y
y=7
Q is (2,7)

P:
x^2+3=11
x^2=8
x=-2sqrt(2)
P is (-2sqrt(2),11)

Now you have two known points. Find the equation of the line containing them.