The point-slope form of the equation for a line can be written as
... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)
Your function gives
... f'(h) = m
... f(h) = k
a) The tangent line is then
... y = 5(x -2) +3
b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.
... y = (-1/5)(x -2) +3
_____
You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.
In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.
Get the y by itself
-2y= -3x + 1
Divide -2 to everything
y= 3/2x - 1/2
Other equation (get y by itself)
-6y= -9x + 3
y=3/2x - 1/2
Use substitution
3/2x-1/2=3/2-1/2
0=0
All real numbers (any value of x makes the equation true)
Answer:
<A = 35 degrees
Step-by-step explanation:
<A = x
<B = 2x
<C = 2x + 5
X + 2x + 2x + 5 = 180 degrees
5x + 5 = 180
5x = 180 -5
x = 175/5
x = 35
Answer: Isosceles
<u>Step-by-step explanation:</u>
When two sides of a triangle are congruent, it is an isosceles triangle.
When three sides of a triangle are congruent, it is an equilateral triangle.
Answer:
None of the above.
Step-by-step explanation:
The system of equations which should have the same solution as the system below;
x + 4y = 11
4x + 2y = 16
is
x + 4y = 11
-8x - 4y = - 32
This system of equations is missing from your choices.
The trick is that -2 is multiplied to the second equation of the first system.
i.e -2 (4x + 2y = 16) gives; -8x - 4y = -32
