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2 years ago

Write an equation in slope-intercept form that describes the line with a slope of -2 and (5,4) is on the line

Mathematics

1 answer:

marin [14]2 years ago

3 0

Answer:

The equation in slope-intercept form will be:

y = -2x + 14

Step-by-step explanation:

Given

slope = m = -2

point (5, 4)

We know that the slope-intercept form of the line equation is

$y = mx+b$

where m is the slope of the line and b is the y-intercept

substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'

y = mx+b

4 = -2(5) + b

4 = -10 + b

b = 4+10

b = 14

now substituting m = -2 and b = 14 in the slope-intercept form to get the equation in slope-intercept

y = mx+b

y = -2x + 14

Therefore, the equation in slope-intercept form will be:

y = -2x + 14

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Which is bigger 7/8 or 3/4?

Kay [80]

7/8 because 3/4 = 6/8, and 7/8 is bigger than 6/8

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3 years ago

Read 2 more answers

Which equation calculates the number of 1/3-foot pieces that can be cut from a piece of

harina [27]

Answer:

$7:\dfrac{1}{3}=21$ pieces

Step-by-step explanation:

Suppose you have a 7 feet long wood.

You need to find how many $\frac{1}{3}$ -foot pieces can be cut from this wood.

To find this number of pieces, you have to divide the whole length of the wood by the length of one piece:

$7:\dfrac{1}{3}=\dfrac{7}{1}\cdot \dfrac{3}{1}=21$

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3 years ago

Every evening, two weather stations issue weather forecast for the next day. The weather forecasts are independent. On average,

EleoNora [17]

Answer:

The probability is 0.6923

Step-by-step explanation:

Let's call R the event that the next day rains, S the event that the next day has sunny weather, R2 the event that the station 2 predicts rain and S1 the event that station 1 predict sunny weather.

The probability that the next day has sunny weather given that station 1 predicts sunny weather for the next day and station 2 predicts rain is calculated as:

P(S/S1∩R2) = P(S∩S1∩R2)/P(S1∩R2)

Where P(S1∩R2) = P(R∩S1∩R2) + P(S∩S1∩R2)

So, the probability P(R∩S1∩R2) that the next day rains, Station 1 predicts sunny weather and Station 2 predicts Rain is calculate as:

P(R∩S1∩R2) = 0.5 * 0.1 * 0.8 = 0.04

Because 0.5 is the probability that the next day rains, 0.1 is the probability that station 1 predicts sunny weather given that it is going to rain and 0.8 is the probability that station 2 predicts rain given that it is going to rain.

At the same way, the probability P(S∩S1∩R2) that the next day has sunny weather, Station 1 predicts sunny weather and Station 2 predicts Rain is calculate as:

P(S∩S1∩R2) = 0.5 * 0.9 * 0.2 = 0.09

Then, the probability P(S1∩R2) that station 1 predicts sunny weather for the next day, whereas station 2 predicts rain is:

P(S1∩R2) = 0.04 + 0.09 = 0.13

Finally, P(S/S1∩R2) is:

P(S/S1∩R2) = 0.09/0.13 = 0.6923

6 0

3 years ago

CAN SOMEONE PLEASE ANSWER 11,13,14,15 ?

blondinia [14]

Answer:

<h3><em>I gotchu</em></h3><h3><em /></h3><h3><em>These are all fractions btw. </em></h3>

<em />

11. -9/32

12. -3/5

13. 4/7

14. 3/8

15. 3/4

Step-by-step explanation: When you do these problems, it's fairly simple. just make sure you plug the numbers in the correct spots. having a calculator help a lot too!

4 0

3 years ago

Write the equation for a line perpendicular to a line passing through points (-1,2) and (1,-8)

soldi70 [24.7K]

Answer:

Step-by-step explanation:

Slope m = (-8-2)/(1+1)=-10/2 = -5

Perpendicular slope-1/m = -1/-5 = 1/5

Equation of a line with perpendicular slope is

y-y1=(-1/m)(x-x1)

y - 2 = (1/5)(x+1)

y =2 +(1/5)(x+1)

3 0

2 years ago