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CaHeK987 [17]
3 years ago
6

(5,-5) and y = 3/2x +3Whats the equation of the line in slope intercept form

Mathematics
1 answer:
statuscvo [17]3 years ago
4 0

Step-by-step explanation:

let (5,-5) =(x1,y1)

from eqn y=3/2x+3

slope (m)=3/2

now,

eqn in slope intercept form is;

(y-y1)=m (x-x1)

  • (y-5)=3/2 (x+5)
  • 2 (y-5)=3 (x+5)
  • 2y-10=3x+15
  • 3x-2y+25=0 is required eqn
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Answers here or on your
AleksandrR [38]

Answer/Step-by-step explanation:

Given:

When Jada took 8 steps, Noah took 10 steps

When Jada took 12 steps, Noah took 15 steps

a. The following table can be created as follows given that x = steps taken by Jada, and y = steps taken by Noah:

From the info given, the ratio of Noah's steps to Jada's steps is 15 : 12 = 10 : 8 = 5 : 4 = ⁵/4.

Use this ratio to create a table of 3 pairs of values as shown below.

Jada's Steps (x) ===> Noah's steps (y)

4 ===> 5

8 ==> 10

12 ==> 15

b. The graph of that shows this relationship has been attached below. Check the attachment.

c. Constant of proportionality can be calculated in each representation as follows: y/x = k. Where y is steps taken by Noah, x is for steps taken by Jada, and I is constant of proportionality.

Thus,

Constant of proportionality (k) = 15/12 = ⁵/4

This means, for every 5 steps taken by Noah, Jada takes 4 steps.

This relationship is represented by the equation, y = ⁵/4x.

The ⁵/4 in the equation is the constant of proportionality of their relationship.

d. The equation, description, graph, and table all represent the same situation because they all show the same constant of proportionality between x and y.

In the equation, ⁵/4 represents the constant of proportionality. In the graph, the slope is ⁵/4, which is also the same last constant of proportionality.

In the table, the constant of change in each pair is ⁵/4 all through.

6 0
3 years ago
Find the midpoint of segment JP, given J(-4,6) and P(-12,-2).
grin007 [14]

Answer:

The answer is

<h2>( - 8 , 2)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M = ( \frac{x1 + x2}{2}  ,  \:  \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J(-4,6) and P(-12,-2)

The midpoint is

<h3>M = ( \frac{ - 4 - 12}{2}  ,  \:  \frac{6 - 2}{2} ) \\  = ( -  \frac{16}{2} ,  \:  \frac{4}{2} )</h3>

We have the final answer as

<h3>( - 8 , 2)</h3>

Hope this helps you

6 0
3 years ago
What is 12% of 1,250
Mashcka [7]

Answer:

150

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Which expression is equivalent to (x^1/2y^16)^1/2
Irina-Kira [14]
Xy^16 / 4

I don't really know how to explain it, but this is the answer
5 0
3 years ago
Three boxes are stacked one on top of the other. One box is 6 feet 5 inches tall, one is 4 feet 6 inches tall, and one is 5 feet
3241004551 [841]

Start with adding the feet: 6+4+5=15

then add the inches: 5+6+7=18

18 inches= 1 foot and 6 inches

So its 16 feet and 6 inches

8 0
3 years ago
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