All categories

3 years ago

Slope : - 9/7 point : ( -7,4 )

1 answer:

7 0

To form an equation with the given information, we use the formula :

y = mx + b, m being the slope and b being the y-intercept.

Since it is given that the slope is -9/7, we substitute m with -9/7.

y = -9/7x + b

To find b, we will substitute the known coordinates into the equation :
At point (-7 , 4), x = -7, y = 4

4 = -9/7 (-7) + b
4 = 9 + b
b = 4 - 9
b = -5

Now we know that b = -5, we will substitute b = -5 into the equation that we found earlier, y = -9/7 x + b :

y = - 9/7x - 5

To make it more readable, we can multiply the equation by 7:
7y = -9x - 5
7y + 9x + 5 = 0

-----------------------------------------------------------
Answer : 7y + 9x + 5 = 0
-----------------------------------------------------------

You might be interested in

A small town had a population of 960 people last year. The population increased to 1200 people this year. By what percentage did

Licemer1 [7]

Answer:

25%

Step-by-step explanation:

25% of 960 is 240. to find that we need to do...

0.25 x 960 = 240

add the percent increace to the 960.....

960 + 240 = 1,200

Hope this helped! Please mark as brainliest! Thanks!!

8 0

3 years ago

represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?

erik [133]

Answer:

$y = \frac{4}{5} x - \frac{22}{5}$

Step-by-step explanation:

$y = mx + b$

$- 2 = \frac{4}{5} (3) + b \\ - 2 = \frac{12}{5} + b \\ - 2 - \frac{12}{5} = b \\ - \frac{10}{5} - \frac{12}{5} = b \\ - \frac{22}{5} = b$

Therefore, the equation of the line that goes through point (3, -2)and has slope ⅘ is

$y = \frac{4}{5} x - \frac{22}{5}$

6 0

2 years ago

PLEASE HELP WILL MARK BRAINLIEST!! DUE SOON

PilotLPTM [1.2K]

Answer:

i cant reall read the screen sorry

Step-by-step explanation:

7 0

3 years ago

Find the sum of the geometric series 512+256+ . . .+4

mario62 [17]

$\bf 512~~,~~\stackrel{512\cdot \frac{1}{2}}{256}~~,~~...4$

so, as you can see above, the common ratio r = 1/2, now, what term is +4 anyway?

$\bf n^{th}\textit{ term of a geometric sequence}\\\\a_n=a_1\cdot r^{n-1}\qquad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\a_n=+4\end{cases}$

$\bf 4=512\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{4}{512}=\left( \cfrac{1}{2} \right)^{n-1}\\\\\\\cfrac{1}{128}=\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{1}{2^7}=\left( \cfrac{1}{2} \right)^{n-1}\implies 2^{-7}=\left( 2^{-1}\right)^{n-1}\\\\\\(2^{-1})^7=(2^{-1})^{n-1}\implies 7=n-1\implies \boxed{8=n}$

so is the 8th term, then, let's find the Sum of the first 8 terms.

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\n=8\end{cases}$

$\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}} \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}} \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020$

7 0

4 years ago

Put the following equation of a line into slope-intercept form, simplifying all

soldier1979 [14.2K]

Answer: y = 2x - 2

Explanation: The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Subtract 2x from both sides of the equation.
-y = 2 - 2x
Multiply each term in -y = 2 - 2x by -1
(-y) . -1 = 2 . -1 + (-2x) . -1
Multiply (-y) . -1
Multiply -1 by -1
Multiply y by 1
y = 2 . -1 + (-2x) . -1
Simplify each term
Multiply 2 by -1
y = -2 + (-2x) . -1
Multiply -1 by -2
y = -2 + 2x
Reorder -2 and 2x
y = 2x - 2

4 0

3 years ago