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Anna35 [415]
3 years ago
10

Write an equatiob in slope intercept foen that passes through points (-4,1) and (-2,4)

Mathematics
2 answers:
vodomira [7]3 years ago
8 0

\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{4}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-1}{-2-(-4)}\implies \cfrac{3}{-2+4}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-1=\cfrac{3}{2}[x-(-4)]\implies y-1=\cfrac{3}{2}(x+4) \\\\\\ y-1=\cfrac{3}{2}x+6\implies y=\cfrac{3}{2}x+7

Sever21 [200]3 years ago
5 0

Answer:

3x + 18y = 4

Subtract 3x from both sides.

18y= -3x + 4

Divide both sides by 18.

y = -3/18x + 4/18

Simplify.

y = -1/6x + 2/9

-1/6 to +6/1, or 6.

y = 6x + b

Input the x and y values and solve for b.

1 = 6(-2) + b

1 = -12 + b

Add 12 to both sides.

13 = b

y = 6x + 13


You might be interested in
Suppose $x$,$y$, and $z$ form a geometric sequence. if you know that $x+y+z=18$ and $x^2+y^2+z^2=612$, find the value of $y$.
OverLord2011 [107]
Because x,y,z form a geometric sequence,  therefore the common ratio is
r = y/x = z/y
That is,
y² = xz                            (1)

We are given:
x + y + z = 18
Therefore
x + z = 18 - y                 (2)

Also,
x² + y² + z² = 612
Therefore, from (1), obtain
x² + z² + xz = 612 
(x + z)² - xz = 612
From (1) and (2), obtain
(18 - y)² - y² = 612
324 - 36y + y² - y² = 612
-36y = 288
y = -8

Answer: y = -8

4 0
4 years ago
Explain how to solve 4^(x+3)=7 using the change of base formula log_by=log y/ log b. Round to the nearest thousandth
HACTEHA [7]

Answer:

x = -1.59

Step-by-step explanation:

We are here given a equation and we need to solve out for x. The given equation is ,

\sf\longrightarrow 4^{( x +3)}= 7

Take log to the base " e " on both sides , so that we can remove the variable from the exponent .

\sf\longrightarrow log_e 4^{x+3}= log_e 7

Simplify using the property of log , \sf log a^m = m log a , we have ,

\sf\longrightarrow (x + 3) ln 4 = ln 7

Distribute by opening the brackets ,

\sf\longrightarrow  x ln 4 + 3 ln 4 = ln 7

This can be written as ,

\sf\longrightarrow x ln 4 = ln 7 - 3ln4

Divide both sides by ln 4 ,

\sf\longrightarrow x = \dfrac{ ln7}{ln 4 } - \dfrac{ 3ln4}{ln4}

Simplify ,

\sf\longrightarrow x = \dfrac{ ln4 }{ln7 } -3

On simplifying , we will get ,

\sf\longrightarrow \boxed{\blue{\sf x = -1.59 }}

5 0
3 years ago
Bill has $35 more than Jill. After Jill gave Bill $13, Bill had twice as much money as Jill. How much money did they have altoge
kozerog [31]

Answer:

48 all together

7 0
3 years ago
One pen is chosen without looking from a bag that has 3 blue pens, 6 red pens, and 3 green pens.
sp2606 [1]

The probability of choosing. a green pen is 0.25

<h3>What is probability?</h3>

Probability is the likelihood or chance that an  event will occur. Mathematically;

Probability = Expected/Total outcome

If a bag has 3 blue pens, 6 red pens, and 3 green pens, then;

Total pen = 3+6+3

Total pen = 12

If a green pen is chosen, then

Pr(choosing a green pen) = 3/12

Pr(choosing a green pen) = 0.25

Hence the probability of choosing. a green pen is 0.25

Learn more on probability here: brainly.com/question/25870256

#SPJ1

8 0
2 years ago
Can someone help me with this
SOVA2 [1]
X is how much it costs for one hour, so when you multiply it by 3 1/2, you get the amount of money charged for 3 and a half hours.
5 0
4 years ago
Read 2 more answers
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