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

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) (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.
RELATED QUESTIONS
The equation of the graphed line in slope-point form using the point (2, -1) is , and its (answered by Fombitz)

The unit circle is graphed in the figure below. Use the figure to find the terminal point (answered by greenestamps)

Find an equation of the line graphed. Write the equation in standard... (answered by Alan3354)

The slope of the line below is -1. Write the point-slope equation of the line using the... (answered by stanbon)

In a suspension bridge the shape of the suspension cables is parabolic. The bridge shown (answered by lwsshak3)

Refer to the figure below to find the measure. Given: If CR = 3, RA = 5, and... (answered by richard1234,timhott)

y < -3 graphed in the rectangular coordinate... (answered by Fombitz)

Referring to the figure, write the equation of the horizontal line through the point... (answered by Fombitz)

determine the slope of the line graphed... (answered by )