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Alenkinab [10]
3 years ago
5

Write an equation in Slope Intercept-Form (y=mx+b) slope= 2 y= -5

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

y= 2x-5

Step-by-step explanation:

I just plugged the information into the formula.

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Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?
Bumek [7]

Given:

Line segment AB has one endpoint at A(0,0).

(5, 3) is 1/3 of the way from A to B.

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

Suppose point P(5, 3) is 1/3 of the way from A to B.

\dfrac{AP}{AB}=\dfrac{1}{3}

\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}=\dfrac{1}{3-1}=\dfrac{1}{2}

It means, point P(5, 3) divides the segment AB in 1:2.

Section formula:

If a point divides a line segment in m:n, then

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

Point P(5, 3) divides the segment AB in 1:2. Using section formula, we get

P=\left(\dfrac{1(a)+2(0)}{1+2},\dfrac{1(b)+2(0)}{1+2}\right)

(5, 3)=\left(\dfrac{a}{3},\dfrac{b}{3}\right)

On comparing both sides, we get

\dfrac{a}{3}=5

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Therefore, the coordinates of point B are (15,9).

8 0
3 years ago
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