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3 years ago

Determine the standard form of the equation of the line that passes through (6, -9) and (-8, 6)

Mathematics

1 answer:

horrorfan [7]3 years ago

4 0

9514 1404 393

Answer:

A. 15x +14y = -36

Step-by-step explanation:

Since we are given two points, we can start with the 2-point form of the equation for a line.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (6 -(-9))/(-8 -6)(x -6) +(-9)

y = 15/-14(x -6) -9

Multiplying by -14, we have ...

-14y = 15x -90 +126

Adding 14y-36 to both sides gives ...

-36 = 15x +14y . . . . matches choice A

The standard-form equation is ...

15x +14y = -36

_____

<em>Additional comments</em>

It can be easier to start with the form ...

(Δy)x -(Δx)y = (Δy)x1 -(Δx)y1 . . . . . where Δx = x2-x1 and Δy = y2-y1

This gives ...

(6+9)x -(-8-6)y = 15(6) +14(-9)

15x +14y = -36 . . . simplified

You can also start with the slope-intercept form or the point-slope form, if you're more familiar with those. The result will be the same. I find it handy to be familiar with a number of different forms of the equation for a line.

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How do you do this?

Nat2105 [25]

U just need to add row by row
I'll do the first 1: 1+1=2
1+2=3
1+3=4
1+4=5
1+5=6

3 0

3 years ago

Read 2 more answers

The negative sign in 15t-2t belongs to the term____?

alexdok [17]

The expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.

Solution:

Given expressions are 15t – 2t and 2t – 15t.

To determine 15t – 2t is equivalent to 2t – 15t or not.

Substitute t = 2 in above two expressions.

15t – 2t = 15(2) – 2(2)

= 30 – 4

= 26

2t – 15t = 2(2) – 15(2)

= 4 – 30

= –26

The values of the expressions are different when t = 2.

So, 15t – 2t is not equivalent to 2t – 15t.

Hence the expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.

7 0

3 years ago

Can any body help my son with this is very important please some body help him in tanks very much I hope some body help me

riadik2000 [5.3K]

The top box on the page explains the idea completely.
You need to read the top box several times, and understand it.
A ratio is a comparison of two quantities by division.

1). Days in May: 31
   Days in a year: 365
   Their ratio: 31/365 .

2). Sides of a triangle: 3
   Sides of a square: 4
   Their ratio: 3/4 .

The middle box explains how two ratios can be equal,
and it gives you a very detailed example. You should
read the middle box and understand it.
Ratios are fractions. They can be equal in just the same
way that any two fractions can be equal.
And you can simplify ratios in exactly the same way that
you simplify fractions ... divide top and bottom both by
the same number.

3). 8/12   Cook up three equal ratios.
   1. divide top and bottom by 2 . . . . . 4/6
   2. divide top and bottom by 4 . . . . . 2/3
   3. multiply top and bottom by 9 . . . . 72/108
   These are just some that I chose.
   There are millions of others.

4). 20/25 Cook up three equal ratios.
   1. divide top and bottom by 5 . . . . . 4/5
   2. multiply top and bottom by 4 . . . . 80/100
   3. multiply top and bottom by 3 . . . . 60/75
   These are just some that I chose.
   There are millions of others.

5). 5/6 Cook up three equal ratios.
   1. multiply top and bottom by 2 . . . . 10/12
   2. multiply top and bottom by 3 . . . .
   3. multiply top and bottom by 9 . . . . 45/54
   These are just some that I chose.
   There are millions of others.

6).   10/14 Cook up three equal ratios.
   1. divide top and bottom by 2 . . . . 5/7
   2. multiply top and bottom by 2 . . . .
   3. multiply top and bottom by (you choose) . . . .

5 0

3 years ago

The vertices of triangle ABC are A(−5, 1), B(−2.5, 7), and C(0, 1). Find the new coordinates of the vertices after the given tra

morpeh [17]

Answer:

(2,0) (0.5,6) (3,0)

Step-by-step explanation:

u know how it's done

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miv72 [106K]

Answer:

40 minutes for 8 inches

Step-by-step explanation:

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2 years ago