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3 years ago

What is the slope of the line passing through (-3,5) and (5,-3)?

Mathematics

2 answers:

Anastasy [175]3 years ago

4 0

Answer:

The Answer is: Slope = -1

Step-by-step explanation:

Given points: (-3, 5) and (5, -3).

Use the equation for slope, m:

m = y - y1/(x - x1)

m = 5 - (-3)/(-3 - 5)

m = 5 + 3/-8

m = 8/-8 = -1

Hope this helps! Have an Awesome Day!! :-)

kolbaska11 [484]3 years ago

3 0

Answer:

-1

Step-by-step explanation:

this is because when doing the slope intercept formula:

$\frac{y^1-y^2}{x^1-x^2}$

it results in negative one

brainliest pls

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Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6. (1 point)

Galina-37 [17]

Given rational expression is:

$\frac{(4x^2-32x+48)}{(3x^2-17x-6)}$

Now we can simplify this by factoring as shown below:

$=\frac{4(x^2-8x+12)}{(3x^2-17x-6)}$

$=\frac{4(x-2)\left(x-6\right)}{(3x^2-18x+1x-6)}$

$=\frac{4(x-2)\left(x-6\right)}{3x\left(x-6\right)+1\left(x-6\right)}$

$=\frac{4(x-2)\left(x-6\right)}{(3x+1)\left(x-6\right)}$

$=\frac{4(x-2)}{(3x+1)}$

Hence final answer is $\frac{4(x-2)}{(3x+1)}$

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3 years ago

System of equations<br><br>y=1/2x +5<br>y=3x -5

Art [367]

Answer: 4

Step-by-step explanation:

Set them equal to each other since they're both equal to y

3x-5=.5x +5

add 5 to both sides

3x=.5x+10

subtract .5x from both sides

2.5x=10

divide both sides by 2.5

x= 4

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If 45 cookies will serve 15 students,how many cookies are needed for 30 students?

blondinia [14]

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3 years ago

Round these numbers to the nearest ten and 100 for brainlies 50 points

Dmitrij [34]

Answer:

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Step-by-step explanation:

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3 years ago

Segment AB has endpoints at A(-7,2) and b(9,-6). Point P lies on AB such that AP:BP=3:1

bekas [8.4K]

The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)

<h3>What is the coordinate of the point which divides a line segment in a specified ratio?</h3>

Suppose that there is a line segment $\overline{AB}$ such that a point P(x,y) lying on that line segment $\overline{AB}$ divides the line segment $\overline{AB}$ in m:n, then, the coordinates of the point P is given by:

$(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)$

where we have:

the coordinate of A is $(x_1, y_1)$
and the coordinate of B is $(x_2, y_2)$

We're given that:

Coordinate of A is $(x_1, y_1)$ = (-7,2)
Coordinate of B is $(x_2, y_2)$ = (9.-6)
The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)

Let the coordinate of P be (x,y), then we get the values of x and y as:

$(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{3(9) + 1(-7)}{3+1} , \dfrac{3(-6) + 1(2)}{3+1} \right)\\\\(x,y) = \left( \dfrac{20}{4} , \dfrac{-16}{4} \right) = (5,-4)$

Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)

Learn more about a point dividing a line segment in a ratio here:

brainly.com/question/14186383

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2 years ago