Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 8, - 42 ) and (x₂, y₂ ) = (- 3, - 17 ) ← 2 ordered pairs from the table
m = =
=
= 5
The line crosses the y- intercept at (0, - 2 ) , then
y = 5x - 2 → C
The relationship that sin x° and cos y° share is that; cos x = sin y and sin x = cos y = 12/13
<h3>How to work with Pythagoras Theorem?</h3>
From the definitions of trigonometric ratios, we know that;
sin x = opposite leg/hypotenuse
cos y = adjacent leg/hypotenuse
From the Pythagorean theorem, we can find the hypotenuse as;
6² + 8² = hypotenuse²
The cosine is the sine of the complementary angle. Since x and y are complementary angles as they sum up to 90°, we have cos x = sin y and sin x = cos y = 12/13
Read more about Pythagoras Theorem at; brainly.com/question/27572671
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