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3 years ago

Find the slope and y intercept.

Mathematics

1 answer:

yan [13]3 years ago

6 0

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

2 points are marked already :

(-3, 4) (3, -4)

x changes by +6 (from -3 to 3)

y changes by -8 (from 4 to -4)

the slope is -8/+6 = -8/6 = -4/3

the y-intercept is also clearly visible on the chart : the line crosses the y-axis precisely at (0, 0).

so, the y-intercept is 0.

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Answers with step-by-step explanation:

1. Area of sector 1 = $\frac{90}{360} \times \pi \times 12^2 = 36\pi$

2. Area of sector 2 = $\frac{45}{360} \times \pi \times 19^2 = \frac{2527}{8} \pi$

3. Area of sector 3 = $\frac{270}{360} \times \pi \times 15^2 = \frac{675}{4} \pi$

4. Area of sector 4 = $\frac{270}{360} \times \pi \times 6^2 = 27 \pi$

5. Arc length of sector 1 = $\frac{90}{360} \times 2 \times \pi \times 12 = 6\pi$

6. Arc length of sector 2 = $\frac{315}{360} \times 2 \times \pi \times 19 = \frac{133}{4} \pi$

7. Arc length of sector 3 = $\frac{270}{360} \times 2 \times \pi \times 15 = \frac{45}{2}\pi$

8. Arc length of sector 4 = $\frac{270}{360} \times 2 \times \pi \times 6 = 9\pi$

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3 years ago

Using a graph, table of values, and/or equations solve the following problem.

katovenus [111]

Answer:

$L= 117.0$

Step-by-step explanation:

Represent the sofa with S and the love seat with L.

So, we have:

$S + L = 351$ --- Total Cost

$S = 2L$

Required

Determine the value of L

Substitute 2L for S in the first equation.

$2L + L = 351$

$3L= 351$

Divide both sides by 3

$\frac{3L}{3}= \frac{351}{3}$

$L= \frac{351}{3}$

$L= 117.0$

Hence, a love seat costs 117.0

Using Graph

See attachment for graph

S is plotted on the y-axis and L is on the x-axis.

The green line represents $S + L = 351$ while the orange line represents $S = 2L$

When the line of the graph is traced to the x-axis, we have:

$L= 117.0$

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Answer:

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Step-by-step explanation:

To find the area of a rectangle or the workshop, you just have to multiply the two measurements together.

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If it is 2:15 P.M. and you were told to move the minute hand of the clock 270 degrees clockwise, what time would it be?

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Step-by-step explanation:

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3 years ago

Find the slope and y intercept.​

Find the slope and y intercept.