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3 years ago

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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3 years ago

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Answer:

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Step-by-step explanation:

Given:

China's population in 2014 = 1.39 billion (Approximately)

Find:

Compare China's population to world population

Computation:

World's population in 2014 = 7.2 billion (Approximately)

Faction of population = China's population in 2014 / World's population in 2014

Faction of population = 1.39 / 7.2

Percentage of population = [China's population in 2014 / World's population in 2014]100

Percentage of population = [1.39/7.2]100

Percentage of population = [0.193]100

Percentage of population = 19.3% (Approx.)

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