The pattern on the table is x increases:
- The sine of x increases
- The cosine of x increases
- The function sin²(x) + cos²(x) remains constant
<h3>How to describe the pattern?</h3>
The functions on the table of values are:
sin(x), cos(x) and sin²(x) + cos²(x)
To describe the pattern, we simply observe how the values of the function change, as x increases.
As x increases, on the table:
- The sine of x increases
- The cosine of x increases
- The function sin²(x) + cos²(x) remains constant
Read more about trigonometry functions at:
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(1, 1) and (4, -4)
Slope formula is : m = (y₂-y₁) / (x₂-x₁)
In this case :
x₁ = 1 ; x₂ = 4 ; y₁ = 1 ; y₂ = -4
Now that you know what variable counts as what, we simply just need to plug everything in.
m = (-4 - 1) / (4 - 1)
Simplify.
m = -5/3
Therefore, your slope is -5/3
~Hope I helped~ :)
This is true.
These are perfect squares: 4, 9, 25. These are not: 7, 8, 11