PLEASE HELP!

Write the equation of a line that passes through the points ( 2 , - 5 ) and ( 8 , - 2 )

kati45 [8]

Answer:

$y=\frac{1}{2}x-6$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

<u>1) Determine the slope (m)</u>

$m=\frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (2,-5) and (8,-2)

$m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{-2-(-5)}{8-2}\\=\frac{-2+5}{8-2}\\=\frac{3}{6}\\=\frac{1}{2}$

Therefore, the slope of the line is $\frac{1}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{1}{2}x+b$

<u>2) Determine the y-intercept (b)</u>

$y=\frac{1}{2}x+b$

Plug in one of the given points and solve for b

$-5=\frac{1}{2}(2)+b\\-5=1+b$

Subtract 1 from both sides to isolate b

$-5-1=1+b-1\\-6=b$

Therefore, the y-intercept of the line is -6. Plug this back into $y=\frac{1}{2}x+b$ :

$y=\frac{1}{2}x+(-6)\\y=\frac{1}{2}x-6$

I hope this helps!

6 0

3 years ago

Jenny is doing a survey on why children like chocolates. Which survey question would she use?

sdas [7]

She could ask: What's you favorite chocolate and why?

Hope that helps O-O

7 0

3 years ago

Round 5.955 to the nearest tenth.

I am Lyosha [343]

Answer:

6.

Step-by-step explanation:

To round 5.955 to the nearest tenth consider the hundredths’ value of 5.955, which is 5 and equal or more than 5. Therefore, the tenths value of 5.955 increases by 1 to 0.

6 0

3 years ago

Read 2 more answers

A. Student GPAs: Bob’s z-score z = + 1.71 μ = 2.98 σ = 0.36 b. Weekly work hours: Sarah’s z-score z = + 1.18 μ = 21.6 σ = 7.1 c.

hjlf

Answer:

a) $x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

b) $x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

c) $x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.71, \mu = 2.98,\sigma = 0.36$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

Part b

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.18, \mu = 21.6,\sigma = 7.1$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

Part c

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = -1.35, \mu = 150,\sigma = 40$

If we solve for x from the z score formula we got:

$x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

5 0

3 years ago

Pleeeeeeeeeeaaaaaaaaaaase help

vredina [299]

Answer:

80 I'm pretty sure, if you get it wrong and can change it, try 100

3 0

2 years ago

Read 2 more answers