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Leto [7]
3 years ago
13

In slope-intercept form, what is the equation of the line passing through the points (3, 17) and (7, 25)?

Mathematics
2 answers:
Jobisdone [24]3 years ago
4 0
The answer would be D.y=2x+11
EleoNora [17]3 years ago
3 0

Answer: D. y = 2x + 11

Step-by-step explanation:

The slope-intercept form is:

y=mx+b

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

To find the slope:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{25-17}{7-3}=\frac{8}{4}=2

Then, the slope-intercept form so far is: y=2x+b

Now, to find the y-intercept, you're going to choose one of the two points given and substitute it into the equation (the first coordinate into the x, and the second coordinate into the y), and then isolate the b. In this case, let's use the first point (3, 17):

y=2x+b\\17=2(3)+b\\b=17-6\\b=11

Substituting, you're left with the final slope-intercept form equation of the line passing through (3, 17) and (7, 25):

y=2x+11

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15.79%

Step-by-step explanation:

do 95-80 which is 15

then do 15/95 as a fraction then multiply that number by 100 to get 15 15/19 then turn that into a decimal and you get 15.79%

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3 years ago
Use the Distributive Property to simplify the expression. [Example: 5(4n-3) = 20n - 15] 7(5n-9)
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Solve the inequality. 8≤-2x+16
alex41 [277]
Use photo math it will help
6 0
3 years ago
Data collected over a long period of time show that the length of time x to complete a particular college entrance test is norma
Finger [1]

Using the z-table, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 100

μ = mean = 125

σ = standard deviation = 18

z-score = (100 – 125) / 18

z-score = (-25) / 18

z-score = -1.39

Find the probability that corresponds to the z-score in the z-table. (see attached images)

-1.39 - (-1.3) : -1.4 - (-1.3) = x - 0.0968 : 0.0808 - 0.0968

-0.09 : -0.1 = x - 0.0968 : -0.016

x - 0.0968 = -0.09(-0.016)/-0.1

x = -0.0144 + 0.0968

x = 0.0824

x = 0.0824

Hence, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.

Learn more about probability here: brainly.com/question/26822684

#SPJ4

7 0
1 year ago
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