Answer:
<em>m</em> = 6
Step-by-step explanation:
Slope Formula:
Simply choose 2 points and plug them into the formula to find slope<em> m</em>:
(1, 20)
(2, 26)
<em>m</em> = 6
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.
X equals negative 2. It says i need to write at least 20 characters so ignore this part, its nonsense :)
The three inside angles of a triangle need to equal 180 degrees.
To find X subtract the two known angles from 180.
X = 180 - 45 - 70
X = 65 degrees.