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satela [25.4K]
3 years ago
6

If equation for the straight line passing through the point (-2; 3 ) and (- 3; 2)

Mathematics
1 answer:
galina1969 [7]3 years ago
4 0
The equation for that line is y=x+5
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Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3. A) (2, 2) B) (4, 1) C) (–6, 6) D) (4
Yuri [45]

Answer:

The answer is explained below

Step-by-step explanation:

The question is not complete we need point P and point Q.

let us assume P is at (3,1) and Q is at (-2,4)

To find the coordinate of the point that divides a line segment PQ with point P at (x_1,y_1) and point Q at (x_2,y_2) in the proportion a:b, we use the formula:

x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1

line segment PQ  is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:

x-coordinate:\\\frac{5}{5+3}(-2-3)+3 \\\\While \ for\ y-coordinate:\\\frac{5}{5+3}(4-1)+1

4 0
4 years ago
Create a linear equation in slope intercept form that contains the points (1,4) and (4,7).​
S_A_V [24]

Answer:

y = x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

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m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (4, 7)

m = \frac{7-4}{4-1} = \frac{3}{3} = 1, hence

y = x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (1, 4), then

4 = 1 + c ⇒ c = 4 - 1 = 3

y = x + 3 ← equation in slope- intercept form

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hope this helps!!

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3 years ago
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3 years ago
801,504 round to the nearest thousand​
Gelneren [198K]

Answer:

802,000

Step-by-step explanation:

The number in the thousands place is 1, and the number to the right of it is 5. And if the number to the right is greater than or equal to 5 the place value that you are rounding goes up by one.

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