What is the equation of the line that passes through the point (-4,6)(−4,6) and has a slope of -\frac{5}{4}−
1 answer:
Answer:
5x + 4y - 4 = 0 is the given line equation.
Step-by-step explanation:
The slope m of the line is given as
The point of the equation is (x0, y0) = (-4, 6)
Now, by POINT SLOPE formula of a line:
Equation of a line is : ( y -y0) = m (x - x0)
Hence, the equation is
On further simplifying ,
⇒ 5x + 4y - 24 + 20 = 0
or, 5x + 4y - 4 = 0 is the given line equation.
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Answer:
The simplest form is tan(4x)
Step-by-step explanation:
* Lets revise the identity of the compound angles
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* Lets solve the problem
- Let 9x = 5x + 4x
∴ tan(9x) = tan(5x + 4x)
- Use the rule of the compound angle
∵ ⇒ (1)
∵ ⇒ (2)
∵ tan(9x) = equation (2)
- Substitute (2) in (1)
∴
- Multiply up and down by (1 - tan(5x)tan(4x))
∴
- Simplify up and down
∴
∴
- Take tan(4x) as a common factor up
∴
- Cancel [1 + tan²(5x)] up and down
∴ The answer is tan(4x)