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3 years ago

The equation of the line is

Mathematics

2 answers:

yuradex [85]3 years ago

6 0

Answer:

b. y=-2x+3

Step-by-step explanation:

find slope by getting any 2 points form the graph

(0,3) (1,1)

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

m = (1-3) / (1-0) = -2 it means by moving one unit right you need to move 2 unit down

note that it does not matter which points you chose to be second or first

then use slope point equation again it does not matter which point from the slope you use

y - y1 = m ( x - x1 )

y - 3 = -2 ( x - 0)

y = -2x +3

vovangra [49]3 years ago

4 0

a) 2x+3

Step-by-step explanation:

The line passes throught the point (1;1) and (0;3)

gradient(m) =change in y ÷ change in x

=y1-y2 ÷x1-x2

=1-3 ÷ 1-0

=-2

therefore m is -2.

y-y1=m(x-x1)

y-1=-2(x-1)

y=2x+2+1

y=2x+3

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viva [34]

Answer:

The values of a , b , c are ⇒ a = 1 , b = 10 , c = 9

Step-by-step explanation:

* Lets describe the meaning of the linear function

- Linear function is represented by a line graphically

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of the line and c is the y-intercept (the point of intersection

between the line and the y-axis is (0 , c))

- m = change of y/change of x

- We can find m from any two points on the line

* Lets use m to find a, b and c

- Use the points (3 , 8) and (5 , 9) to find m

∵ m = (y2 - y1)/(x2 - x1)

∴ m = (9 - 8)/(5 - 3) = 1/2

- Find a by using points (a , 7) and (3 , 8) ⇒ (or (5 , 9))

∵ m = (8 - 7)/(3 - a) = 1/2

∴ 1/(3 - a) = 1/2 ⇒ by using cross multiplication

∴ 3 - a = 2 ⇒ subtract 3 from both sides

∴ -a = -1 ⇒ × -1 both sides

∴ a = 1

- Find b by using points (5 , 9) and (7 , b) ⇒ (or (3 , 8))

∵ m = (b - 9)/(7 - 5) = (b - 9)/2

∴ (b - 9)/2 = 1/2 ⇒ by using cross multiplication

∴ 2(b - 9) = 2 ⇒ open the bracket

∴ 2b - 18 = 2 ⇒ add 18 to both sides

∴ 2b = 20 ⇒ ÷ 2

∴ b = 10

- Find b by using points (5 , 9) and (c , 11) ⇒ (or (3 , 8))

∵ m = (11 - 9)/(c - 5) = 2/(c - 5)

∴ 2/(c - 5) = 1/2 ⇒ by using cross multiplication

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Answer:

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Step-by-step explanation:

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3 years ago

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Charra [1.4K]

Answer:

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Step-by-step explanation:

Given:

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Weakly deposit = $15

Solution:

We need to create an equation where total amount is y is equal to initial deposit plus multiplication of weakly deposit and month x, so the equation is written as.

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Where:

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Second thing we need to find the month for y = $250

Now, we substitute y = 250 in equation 1.

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3 years ago

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Sphinxa [80]

Answer:

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Step-by-step explanation:

The area (A) of a triangle using Heron's formula is

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s = $\frac{a+b+c}{2}$ = $\frac{4+4+1}{2}$ = $\frac{9}{2}$ = 4.5

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