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sasho [114]
3 years ago
7

What is the equation of the line that passes through the point (5,-2) and (2,-5)

Mathematics
1 answer:
Inga [223]3 years ago
7 0

Answer:

(4, 10)

Step-by-step explanation: you go 4 over from 2 and you get -2. if you go over 10 you get -5

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Find the value of x in the triangle shown below.<br>​
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2 years ago
Complete the slope equation of the line through 2,3 and 7, 4 <br><br> Y-4=
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Answer:

The slope equation of the line AB is (y -4) = \frac{1}{5} (x-7)

Step-by-step explanation:

Here, the given points are A (2, 3) and B (7,4).

Now, slope of any line is given as :

m = \frac{y_2 - y_1}{x_2 - x_1}

or, m = \frac{4 -3}{7-2}   = \frac{1}{5}

Hence, the slope of the line AB is (1/5)

Now , A POINT SLOPE FORM of an equation is

(y - y0)  = m (x - x0) ; (x0, y0)  is any arbitrary point on line.

Hence, the equation of line AB with slope (1/5 )  and point (7,4) is given as:

(y  -4 ) = \frac{1}{5}  ( x - 7)

or, 5y  - 20 = x -7

⇒  x - 57  + 13 = 0  ( SIMPLIFIED FORM of equation)

Hence, the slope equation of the line AB is (y -4) = \frac{1}{5} (x-7)

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2 years ago
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule repres
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Answer:

The translation statement is given by:

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After the translation, the coordinates of vertex A is (-2,6).

Step-by-step explanation:

Given :

Vertices of a triangle ABC are:

A(−3, 4), B(4, −2), C(8, 3)

The triangle is translated 2 units up and 1 unit right.

To find the co-ordinates of point A after translation.

Translation rules.

For shift of c units up, the translation is given as:

(x,y)\rightarrow (x,y+c)

For shift of k units right, the translation is given as:

(x,y)\rightarrow (x+k,y)

So, it says the triangles is translated 2 units up and 1 unit right.

The translation statement is given by:

(x,y)\rightarrow (x+1,y+2)

So, co-ordinates of point A after translation is given by :

(-3,4)\rightarrow (-3+1,4+2)=(-2,6)

After the translation, the coordinates of vertex A is (-2,6).

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3 years ago
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Find the value<br> 47-36÷3(5+7-3^2)
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