Saturday

March 28, 2015

March 28, 2015

Posted by **Shayne** on Wednesday, September 14, 2011 at 9:35pm.

y = x2 − 7x + 5

that is parallel to the line

x − 3y = 3.

- calculus -
**Reiny**, Wednesday, September 14, 2011 at 10:29pmdy/dx = 2x-7 which is the slope of the tangent.

so the normal must have a slope of -1/(2x-7) or 1/(7-2x)

but that is supposed to be parallel to x-3y=3

that is, a slope of 1/3

1/(7-2x) = 1/3

3 = 7-2x

2x = 4

x = 2

when x=2, y = 4-14+5 = -5

so the normal has equation

x - 3y = c

with (2,-5) on it, so

2 + 15 = c

equation of normal is

x - 3y = 15

check: at (2,-5) slope should be -3

dy/dx = 2(2)-7 = -3

My answer for the equation of the normal is correct!!

**Answer this Question**

**Related Questions**

calculus - Find parametric equations for the line through the point P(2, 9, 4) ...

calculus: multivariable - Find the points on the hyperboloid x2 −y2 +2z2...

Mathamatics - This question concerns the straight line that passes through the ...

Math - This question concerns the straight line that passes through the points...

algebra - Which choice is the equation of a line that passes through the point (...

Calc. - I am so confused with this last part of the unit! What in the world is ...

algebra ll - Which choice is the equation of a line that passes through the ...

Maths-Calculus - If f(2)=1 and f(2+h)=(h+1)3, compute f′(2). If f(−...

Calculus - Sketch a graph of the parabola y=x^2+3. On the same graph, plot the ...

calculus - Find an equation for the surface consisting of all points P(x, y, z) ...