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kirza4 [7]
3 years ago
10

Find the slope intercept form of the line whose slope is 2 and passes through the point (-7,10)

Mathematics
1 answer:
disa [49]3 years ago
4 0

Answer:

y=2x+24

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 2 and passes through (-7, 10)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope, we can immediately substitute it in for m

So replace m with 2 in y=mx+b

y=2x + b

Now we need to find b

As the equation passes through the point (-7, 10), we can use its values to help us find the value of b

Substitute -7 as x and 10 as y

10 = 2(-7) + b

Multiply

10 = -14 + b

Add 14 to both sides

24 = b

Substitute 24 as b into the equation

y = 2x + 24

Hope this helps!

See more on finding the equation of the line here: brainly.com/question/27582464

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Drag the point around to graph more horizontal lines. What is the general equation of a horizontalline?
svetlana [45]

A horizontal line is one for which the value of y is the same for the entire length of the line. Therefore this type of line can be expressed as below:

y=c

Where "c" is a constant that changes the position of the line on the coordinate plane. If c is equal to 2, then we have a constant line that crosses the y-axis at the position 2 for example.

7 0
2 years ago
a man spends 42% of his salary on food and 12% on transport. if the amount he spent on food is Rs 16800, how much was his transp
FinnZ [79.3K]

The man's transport cost is Rs 4800

Step-by-step explanation:

  • Step 1: Given that the amount the man spent on food = Rs 16800 which is 42% of his salary. Form an equation where his salary is x.

42% of x = 16800

42/100 × x = 16800

42x = 1,680,000

x = 1,680,000/42 = Rs 40,000

∴ Salary is Rs 40,000

  • Step 2: Calculate the man's transport cost.

12% of 40000 = 12/100 × 40000 = Rs 4800

8 0
3 years ago
A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Mater
marshall27 [118]

Answer:

$ 327.08

Step-by-step explanation:

Let x = width of the container,

Then Length of the container = 2x

Let h = height of the container,

volume of the container can be calculated as length × width × height

= 2x × x × h

= 2x² h

Then we can say Volume =

= 2x² h=10

If we simplify inorder to get h

We have h= 5/x²

Then the area= (2L×h) +(2xh)

Where L is lenght

x= wish

h= height

= 2× 2x × h+ x× h

= 4x× 5/x + 2x × 5/x

Area = 30/x

Now, the area of the base = length × width

But from question, for the base costs $20 per square meter. Material for the sides costs $12 per square meter

Then the cost C(x)= 2x²× 20+30/x ×12

C(x)= 40x²+35/x²

If we differenciate wrt x we have

C(x)= 80-360/x²

If we equate C(x)=0the

80=360/x²

x= 1.651

If substitute to C(x)= 40x²+35/x²

C(x) = 40(1.651)² + 35/(1.651)²

We have cost= 327.08

6 0
3 years ago
Solve the equation 144x²-1=0
ratelena [41]
<span><span>x=0.083333</span>,<span>−0.083333</span></span><span>
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8 0
3 years ago
The total cost of a pair of pants and a jacket was $59.01. If the price of the pair of pants was $1.49 less than the jacket, wha
bearhunter [10]

Answer:

The answer is 788

8 0
3 years ago
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