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2 years ago

What is an equation of the line that passes through the points (3, -3) and (6, -1)?

1 answer:

3 0

Start by finding the slope using m = (y2 - y1)/(x2 - x1). Substituting in you get (-1 + 3)/(6 - 3). So m = 2/3

Next, use y - y1 = m(x - x1) and substitute any of the coordinates in: y + 3 = 2/3(x - 3). That gives you y + 3 = (2/3)x - 2. So tha final answer is y = (2/3)x -5

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30 points if you answer this!

lord [1]

Answer:

Step-by-step explanation:

4y is a term in itself 3 and x separate aren't and 4x + 7 is an equation not a term.

8 0

2 years ago

Read 2 more answers

ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)

Delicious77 [7]

$remember$
$ln(x)=log_e(x)$
$and$
$log_x(a)-log_x(b)= log_x( \frac{a}{b} )$
$and$
$log_a(b)=c$ means $a^c=b$
$and$
$blog(a)=log(a^b)$

$so$

$ln(y+1)-ln(y)=1+3ln(x)$
$ln( \frac{y+1}{y} )=1+ln(x^3)$

$minus$ $ln(x^3)$ $from$ $both$ $sides$

$ln( \frac{y+1}{y}-ln(x^3) )=1$
$ln( \frac{y+1}{yx^3})=1$
$log_e( \frac{y+1}{yx^3})=1$

$translate$

$e^1=\frac{y+1}{yx^3}$
$e=\frac{y+1}{yx^3}$

$times$ $both$ $sides$ $by$ $yx^3$

$eyx^3=y+1$

$minus$ $y$ $from$ $both$ $sides$

$eyx^3-y=1$
$y(ex^3-1)=1$

$divide$ $both$ $sides$ $by$ $(ex³-1)$

$y= \frac{1}{ex^3-1}$

6 0

2 years ago

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Twice a number, added to seven, is the same

eduard

Answer:

Your number is -10

Hope this helps :)

Step-by-step explanation:

Let x be the number

Twice a number is 2x

Added to 7 means + 7 so 2x + 7

Is means =

2x+7=

At this point I have to assume you mean

"is the same as three subtracted from THE SAME number"

Otherwise, rather than a number, we end up with the

equation of a line....

2x + 7 = x - 3 subtract x from both sides

x + 7 = -3 subtract 7 from both sides

x = -10

Your number is -10

Check: 2x+7 = x-3

2(-10) + 7 = -10-3

-20+7 = -13

-13 = -13

The answer fits the parameters of the problem.

6 0

2 years ago

What is the slope of this line ?<br> Answers : 2, 1/2, 4, and -4

xxMikexx [17]

Answer:

Step-by-step explanation:

$slope =\frac{rise}{run}$

$\frac{rise}{run}=\frac{2}{1} =2$

<em>good luck, i hope this helps :)</em>

3 0

2 years ago

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How to write this in radical form

Roman55 [17]

Ax/n= nsquare root a^x

5 0

2 years ago

What is an equation of the line that passes through the points (3, -3) and (6, -1)?​

What is an equation of the line that passes through the points (3, -3) and (6, -1)?