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2 years ago

Pls Help! Which equation matches the given points?

Mathematics

1 answer:

ira [324]2 years ago

5 0

Answer:

D) y = −2/5x

Step-by-step explanation:

In the equation for a line ...

y = mx +b

the constant 'b' is the y-intercept of the line. The y-intercept is the value of y when x = 0.

The point (0, 0) tells you the y-intercept is 0, or b=0. That reduces the equation to the form ...

y = mx

The value of m is most easily found if you have a point where x=1. In that case, ...

y = 1m

y = m

In the given list of points, there is one that is helpful here: (1, -0.4). That is, the equation for the given points is ...

y = -0.4x

The answer choices are given as fractions, so you must convert -0.4 to the fraction -2/5.

y = -2/5x . . . . describes the given points

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Given sin(−θ)=−1/6 and tanθ=−√35/35 What is the value of cosθ?

murzikaleks [220]

Answer:

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Step-by-step explanation:

Recall the negative angle identity for the sine function:

$sin(- \theta)=-sin(\theta)$

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$sin(\theta)=-sin(-\theta)\\sin(\theta) =-(-\frac{1}{6} )\\sin(\theta)= \frac{1}{6}$

Now recall the definition of the tangent function:

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Therefore, now that we know the value of $sin(\theta)$ , we can solve in this equation for $cos(\theta)$

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