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Alexus [3.1K]
3 years ago
8

Find the slope of ther line that goes through the points (-9,-4) and (-3,-6)

Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0

Answer:

slope = - \frac{1}{3}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 9, - 4) and (x₂, y₂ ) = (- 3, - 6)

m = \frac{-6+4}{-3+9} = \frac{-2}{6} = - \frac{1}{3}

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What is the equation of this graphed line?
Veseljchak [2.6K]

Answer:

Slope Intercept form of the equation is y  = \frac{1}{3} x - 9

Step-by-step explanation:

Here,  the two point line are given as  is A(-6,-3) and B(6,-7)

The slope of the line AB =  m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{-7-(-3)}{6-(-6)}   = \frac{-7 + 3}{6 + 6}   = \frac{4}{12} \\\implies m = \frac{1}{3}

⇒ the slope of AB  is m =  (4/3)

By SLOPE  INTERCEPT FORMULA:

The equation of a line with slope m and a point (x0, y0) is given as

(y-y0)=  m (x-x0)

⇒ The equation of line with point (6,-7) is:  

y + 7 = \frac{1}{3} (x-6)  \implies  3y + 21  - x + 6 - 0\\or, -x + 3y + 27 = 0

Now, the given equation is -x + 3y  = -27

Convert it in the  SLOPE INTERCEPT FORM  y = mx + c

We get, 3y = x - 27

or, y = \frac{1}{3} x - \frac{27}{3} \\\implies y = \frac{1}{3} x - 9

Hence, the Slope Intercept form of the equation is y  = \frac{1}{3} x - 9

3 0
2 years ago
I need some help pls​
natali 33 [55]

Answer:

안녕하세요 멍청한 새끼들. 시험하고 빨리 답이 필요해 .. 네 개년들 고마워

7 0
3 years ago
SOMEONE PLEASE HELP! IM REALLY CONFUSED
Mamont248 [21]

Answer:

thanks

Step-by-step explanation:

3 0
2 years ago
Please help me i would appreciate it greatly
Lera25 [3.4K]

Answer:

I would put B

Sorry if it's wrong I would have to know what the test is about to answer this

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help me!!!!!!!!!!!!!!!!!!!!
rosijanka [135]
Answer is probably -15
6 0
2 years ago
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