Equation is y = -1/6x
Step-by-step explanation:
- Step 1: Given that slope, m = -1/6 and a coordinate (12,-2). Write the equation and find the y-intercept, b.
⇒ y = mx + b
⇒ -2 = -1/6 × 12 + b
⇒ -2 = -2 + b
∴ b = 0
- Step 2: Write the equation in slope intercept form.
⇒ y = -1/6x + 0
⇒ y = -1/6x
Use the trigonometry triangles SOH CAH TOA
Sin= opposite/hypotenuse
Opposite= opposite the angle
Hypotenuse is the longest side
n > -6 is the inequality for 16 plus 5 times a number is more than the number minus 8
<em><u>Solution:</u></em>
Given statement is:
16 plus 5 times a number is more than the number minus 8
We have to write a inequality
From given statement,
16 plus 5 times a number is more than the number minus 8
Let the number be "n"
Therefore,
16 plus 5 times "n" is more than "n" minus 8
Here, "plus" means addition and "minus" means subtraction and "times" means multiplication
Thus the statement is translated into inequality as:

Simplify the inequality

Thus the soultion is n > -6