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seraphim [82]
3 years ago
10

Write the equation of the line that passes through the points (2, -6) and (8, -2).

Mathematics
1 answer:
Inessa [10]3 years ago
8 0
Answer:

y + 6 = 2/3 (x - 2)

Step-by-step explanation:

Step 1. Find the slope

m = slope

m = change in y/change in x

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

points: (2, -6) & (8, -2)

m = (-2 - -6)/(8 - 2)

m = 4/6

m = 2/3

Step 2. Create the point-slope equation by using the slope and the first point

Point-slope formula: y - y1 = m(x - x1)
Where m = slope and (x1, y1) = first point

Point-slope form: y + 6 = 2/3 (x - 2)

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3+3=6 therefore the answer would be 6x. 
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3 years ago
When y is 4, p is 0. 5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equatio
dmitriy555 [2]

Answer:

  \dfrac{xy}{pm}=8

Step-by-step explanation:

If x varies directly as the product of p and m, and inversely with y, the relation can be written ...

  x = k(pm)/y . . . . where k is the constant of proportionality

__

This can be solved for k:

  k = xy/pm

For the given values, the value of k is ...

  k = (2)(4)/((0.5)(2)) = 8

Then the relation between the variables can be written ...

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2 years ago
Which is an equation for the line with a y -intercept of zero and a slope of 5?
Vitek1552 [10]

Answer:

y = 5x

Step-by-step explanation:

6 0
3 years ago
9. Beth has 28 math problems for homework. She has 4 times as many problems as her sister, Mary. Which equation shows how many p
Lemur [1.5K]

Answer:

Answer is 28/4 = 7

Step-by-step explanation:

Given

Beth B = 28 problem

B has 4 times more problem than Mery m

Find

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So,

B = 4 x m

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Finally answer (d) is correct which is 28 ÷ 4 = m

3 0
3 years ago
Consider the function below.
murzikaleks [220]

Answer:

See the attachment for the points and line of interest.

Step-by-step explanation:

A graphing calculator or graphing utility can show you the curve.

For ax²+bx+c, the line of symmetry is x=-b/(2a). That is also the x-coordinate of the vertex. The y-intercept is the constant, the value of the function when x=0. The x-intercepts are the values of x that make f(x) = 0.

Here, those are x=4 and x=-2. You can factor f(x) as (x+2)(x-4). These values of x make the factors, and the function, zero.

4 0
3 years ago
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