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nirvana33 [79]
3 years ago
11

Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer: y = 2x

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 2x - 8

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2

To determine the intercept, we would substitute m = 2, x = - 3 and

y = - 6 into y = mx + c. It becomes

- 6 = 2 × - 3 + c

- 6 = - 6 + c

c = - 6 + 6 = 0

The equation becomes

y = 2x

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On a number line if point A lies -3 and point B lies on 4, what is the length of AB
tresset_1 [31]

Answer:

7

Step-by-step explanation:

4-(-3)=

4+3=

7

5 0
3 years ago
Find the 9th term of the geometric sequence whose common ratio is 1/3 and whose first term is 2.
raketka [301]

Answer:

2/6561

Step-by-step explanation:

Geometric sequence formula : a_n=a_1(r)^n^-^1

where an = nth term, a1 = first term , r = common ratio and n = term position

given ratio : 1/3 , first term : 2 , given this we want to find the 9th term

to do so we simply plug in what we are given into the formula

recall formula : a_n=a_1(r)^n^-^1

define variables : a1 = 2 , r = 1/3 , n = 9

plug in values

a9 = 2(1/3)^(9-1)

subtract exponents

a9 = 2(1/3)^8

evaluate exponent

a9 = 2 (1/6561)

multiply 2 and 1/6561

a9 = 2/6561

7 0
2 years ago
How any is?<br> 8m + 27 = 2m - 3 <br> with procedure and testing
givi [52]
8m+27= 2m-3
take 2m and subtract it from 8m, this gives you 6m. now your equation is 6m+27=-3.
subtract 27 from -3, this will make it 6m=-30.
divide 30 by 6. this gives you your answer. m=-5, because -30 divided by 6 equals -5.
now to test it you can plug -5 into the equation in place of M. 8 times -5 equals -40, plus 27 equals -13. 2 times -5 equals -10 plus -3 equals -13.
3 0
3 years ago
Read 2 more answers
I need help I don't know what to do! ( / is a fraction bar!!)
kari74 [83]
#1 4/5x + 2/3x = 1 -4/15
22/15x = 11/15
x = 1/2

and can u explain what u mean by #2 and #3??

7 0
3 years ago
Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in thi
mamaluj [8]

Answer:

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario?

First, calculate the rate of change (Slope, once it is a linear function):

I will take the points: (0, 100) and (1, 80)

$m=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}= \frac{100-80}{0-1}=-20   $

Let's understand the graph!

This linear graph is about songs being downloaded in a period of 5 weeks.

In the beginning, we have 100 songs to be downloaded. As the weeks past, the number of songs remaining decreases, that's why the graph's slope is negative. In week 5, all songs were downloaded.

The initial value (100) represents the number of songs.    

Part B: Write an equation in slope-intercept form to model the relationship between x and y.

The Slope-intercept form of linear equations is y=mx+b

where, m is the slope and b is the y-intercept.

In this case, we have

y=-20x+100

3 0
3 years ago
Read 2 more answers
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