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3 years ago

What is the equation of a line that passes through the points (0,5) and (4,8)? Write your answer in slope-intercept form.

Mathematics

1 answer:

7nadin3 [17]3 years ago

7 0

Answer:

y=3/4x+5

Step-by-step explanation:

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

m=(8-5)/(4-0)

m=3/4

y-y1=m(x-x1)

y-5=3/4(x-0)

y-5=3/4(x)

y-5=3/4x

y=3/4x+5

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3 years ago

Samantha has $1,290 in a savings account that pays 4% simple interest. How much interest will she earn in 9 months? How much wil

Masja [62]

Given:

Principal = $1290

Rate of simple interest = 4%

Time = 9 months

To find:

The interest and total saving in the account altogether.

Solution:

The formula for simple interest is

$I=\dfrac{P\times r\times t}{100}$ ...(i)

where, P is principal, r is rate of interest and t is time in years.

We know that,

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$I=\dfrac{1290\times 4\times 0.75}{100}$

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So, the simple interest is $38.70.

Total savings is

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2 years ago

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Step-by-step explanation:

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2 years ago

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2 years ago

What’s the slope of the line that passes through 5,10 and 7,12

Marrrta [24]

Slope of the line passes through (5,10) and (7,12) is 1.

Step-by-step explanation:

Given,

The two points are (5,10) and (7,12).

To find the slope passing through the given points.

Formula

The slope of the line passing through ( $x_{1} ,y_{1}$ ) and ( $x_{2} ,y_{2}$ ) is $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

Now, putting $x_{1} =5,y_{1}=10, x_{2}=7, y_{2} =12$ we get,

Slope = $\frac{12-10}{7-5}$ = $\frac{2}{2}$ = 1

Hence,

Slope of the line passes through (5,10) and (7,12) is 1.

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