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3 years ago

What is the equation of the line that passes through point (4, 12) and has a intercept of -2

Mathematics

1 answer:

kozerog [31]3 years ago

7 0

Answer:

$\large\boxed{y=\dfrac{7}{2}x-2}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the point (4, 12), and y-intercept b = -2 → (0, -2).

Substitute:

$m=\dfrac{-2-12}{0-4}=\dfrac{-14}{-4}=\dfrac{14:2}{4:2}=\dfrac{7}{2}$

Finally:

$y=\dfrac{7}{2}x-2$

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sasho [114]

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if we check our work we will see this

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m-9=12

21-9=12

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katen-ka-za [31]

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2 years ago

bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye. the table gives the

MAVERICK [17]

Given that Bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye.

Given the table below that gives the probabilities of outcomes.

$\begin{tabular}
{|c|c|c|c|c|}
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3 years ago

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,360 ft Determine the flag's width and

just olya [345]

The length of rectangular mosaic flag is 710 feet and width is 470 feet

Step-by-step explanation:

Let l be the length of the flag

and

w be the width

Then according to given statement

l = w+240

Perimeter = 2360 feet

The formula for perimeter is given by:

$Perimeter = 2(Length+Width)$

Putting values

$2360 = 2[w+240+w]\\\frac{2360}{2} = \frac{2[w+240+w]}{2}\\1180 = 2w+240\\1180-240 = 2w+240-240\\940 = 2w$

Dividing both sides by 2

$\frac{2w}{2} = \frac{940}{2}\\w = 470$

The width is 470 feet

Now,

$l = w+240\\= 470+240\\=710$

Hence,

The length of rectangular mosaic flag is 710 feet and width is 470 feet

Keywords: Perimeter, dimensions

Learn more about perimeter at:

#LearnwithBrainly

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3 years ago

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Salsk061 [2.6K]

Answer:

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Step-by-step explanation:

Individually, they both have a rate of failure of 1%.

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*Disclaimer!!

I am not the best at this area in math so I would still reference against someone else's answer, but this is my best effort :)

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3 years ago

What is the equation of the line that passes through point (4, 12) and has a intercept of -2​

What is the equation of the line that passes through point (4, 12) and has a intercept of -2