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jeka57 [31]
3 years ago
13

Write an equation in standard form for the line that passes through (3,-1) and (-5,-3)

Mathematics
2 answers:
belka [17]3 years ago
8 0

Answer:

0 = x - 4y - 7

Step-by-step explanation:

Moving from (-5, -3) to (3, -1), we see that x (the run) increases by 8 and y (the rise) incrases by 2.  Thus, the slope of the line connecting these two points is m = rise / run = 2/8, or 1/4.

Use the slope-intercept form of the equation of a straight line first:

y = mx + b becomes          -1 = (1/4)(3) + b, or (after multiplying all three terms

                                           by 4)  -4 = 3 + 4b.  Then 4b = -7, and b = -7/4.

Then the desired equation is    y  = (1/4)x - 7/4, or

4y = x - 7, or

0 = x - 4y - 7.  This is the desired equation in standard form.

ludmilkaskok [199]3 years ago
5 0

Answer:

y = 1/4x - 1.75

Step-by-step explanation:

standard form is y = mx + b

to get m you need to calculate the slope between the given points

m= (y1-y2)/(x1-x2)

m = (-1 - (-3))/(3 - (-5)) = 2/8 = 1/4

now you need to find the constant b by plugging in one of your points

y = 1/4x + b

-1 = 1/4(3) + b

b = -1 - (3/4)

b = -7/4 or -1.75

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UkoKoshka [18]
The common ratio is -1/2

-96 * -1/2 = 48
48 * -1/2 = -24
-24 * -1/2 = 12
12 * -1/2 = 6
8 0
3 years ago
Read 2 more answers
Simplify: 5a + 1r + 2a + 4r
Marina CMI [18]

Answer:

7a+5r

Step-by-step explanation:

5a + 1r + 2a + 4r

add like terms

7a+5r

hope that helps

4 0
3 years ago
It is said that sufferers of a cold virus experience symptoms for 7 days. However, the amount of time is actually a normally dis
AlexFokin [52]

Answer:

a) 0.18% of cold sufferers experience fewer than 4 days of symptoms

b) 64.40% of cold sufferers experience symptoms for between 7 and 10 days.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 7.5, \sigma = 1.2

a. What proportion of cold sufferers experience fewer than 4 days of symptoms?

This is the pvalue of Z when X = 4. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{4 - 7.5}{1.2}

Z = -2.92

Z = -2.92 has a pvalue of 0.0018.

So 0.18% of cold sufferers experience fewer than 4 days of symptoms.

b. What proportion of cold sufferers experience symptoms for between 7 and 10 days?

This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 7. So

X = 10

Z = \frac{X - \mu}{\sigma}

Z = \frac{10 - 7.5}{1.2}

Z = 2.08

Z = 2.08 has a pvalue of 0.9812.

X = 7

Z = \frac{X - \mu}{\sigma}

Z = \frac{7 - 7.5}{1.2}

Z = -0.42

Z = -0.42 has a pvalue of 0.3372.

So 0.9812 - 0.3372 = 0.644 = 64.40% of cold sufferers experience symptoms for between 7 and 10 days.

8 0
3 years ago
How would I write a proportion for, “15% Of the toddlers in a preschool class drink water with their lunch. how many toddlers ar
ser-zykov [4K]
Let x be the number of toddlers.

0.15x=3

x=20
4 0
3 years ago
What is the diameter of a circle with a circumference of 11.27 pi ft
KatRina [158]
Circumference of circle = 11.27π ft
so,
C = 2πr
or, 11.27π = 2πr
or, 11.27π/2π = r
so, r = 5.635 ft
now,
diameter = 2r
= 2 x 5.635
= 11.27 ft
7 0
3 years ago
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