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Andrews [41]
3 years ago
7

Find an equation for the line that passes through the points (-4, -1) and (6, 3)

Mathematics
2 answers:
Anarel [89]3 years ago
5 0

Answer:

y = (2/5)x + 3/5

Step-by-step explanation:

<u>Points to remember </u>

Equation of the line passing through the poits (x1, y1) and (x2, y2)  and slope m is given by

(y - y1)/(x - x1) = m    where slope m = (y2 - y1)/(x2 - x1)

<u>To find the slope of line </u>

Here (x1, y1) =  (-4, -1) and  (x2, y2) = (6, 3)

Slope = (y2 - y1)/(x2 - x1)

 = (3 - -1)/(6 - -4)

 = 4/10 = 2/5

<u>To find the equation </u>

(y - y1)/(x - x1) = m  

(y - -1)/(x - -4) = 2/5

(y + 1)/(x + 4) = 2/5

5(y + 1) = 2(x + 4)

5y + 5 = 2x + 8

5y = 2x + 3

y = (2/5)x + 3/5

skad [1K]3 years ago
3 0

Answer:

y=2/5x+3/5

Step-by-step explanation:

Use the slope formula to get the slope:

m=4/10

m=2/5

The y intercept is 3/5

The equation is y=2/5x+3/5

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The sum of the ages of Caleb and Linda is 55 years. 8 years ago, Caleb's age was 2 times Linda's age. How old is Caleb now?
yKpoI14uk [10]

Answer:

34

Step-by-step explanation:

1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then

2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;

3. according  to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;

4. if to make up the system of two equation and calculate the values of 'x' and 'y':

5. if x=34, then Caleb is 34 old now.

4 0
4 years ago
100 POINTS AND BRAINLIST
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5 0
3 years ago
(7x3 + 51x2 - 47x - 49) = (x + 8)
scoray [572]

Answer:

so the answer is

Step-by-step explanation:

3 0
4 years ago
What is an equation of a parabola with vertex at the origin and focus (0, 7)
MakcuM [25]
<h3>Answer: B)  y = (1/28)x^2</h3>

Explanation:

p = focal distance = 7

the focal distance is from the vertex to the focus

The parabola opens upward (since the vertex is below the focus) so 'a' is positive and a = 1/(4p) = 1/(4*7) = 1/28

The vertex is (h,k) = (0,0)

Put this all together into the formula below and simplify

y = a(x-h)^2 + k

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y = (1/28)x^2

8 0
4 years ago
Pls please please help me with this
nekit [7.7K]
The last one should be it
8 0
3 years ago
Read 2 more answers
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