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KatRina [158]
3 years ago
5

What is the equation of this line in slope-intercept form?

Mathematics
1 answer:
Anna11 [10]3 years ago
4 0

Answer:

<em>y = -3x + 2</em>

Step-by-step explanation:

From the graph, you see the line intersects the y-axis at y = 2, so the y-intercept is b = 2.

Now we need the slope. We need to find the number of vertical and horizontal units to go from one point to the other. Starting at point (-1, 5), go down 6 units and then go right 2 units. The change in y is -6. The change in x is 2. slope = m = (change in y)/(change in x) = -6/2 = -3.

m = -3; b = 2

y = mx + b

y = -3x + 2

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Find the period of the function. y=3 sin x/8
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Answer:

The period of given function is  Period = 16\pi

So, Option B is correct.

Step-by-step explanation:

In this question we need to find the period of the function y= 3 sin x/8

The formula used to find period of function is: \frac{2\pi }{b}

We need to know the value of b.

To find the value of b we compare the standard equation with the equation of function given.

Standard Equation: y = a sin(bx - c) +d

Given Equation: y= 3 sin(x/8)

Comparing we get:

a= 3

b= 1/8

c= 0

d=0

So, we get the value of b i.e 1/8. Putting it in the formula to find period of given function.

Period = \frac{2\pi }{b}

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