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AVprozaik [17]
3 years ago
5

Find the point slope equation

Mathematics
1 answer:
NARA [144]3 years ago
6 0
<h3>Answer:</h3>

y - 6 = (3/2)(x - 4)

<h3>Explanation:</h3>

The point-slope form of the equation for a line with slope m through point (h, k) is ...

... y - k = m(x - h)

You are given m = 3/2, (h, k) = (4, 6). Putting these numbers in the equation above, gives ...

... y - 6 = (3/2)(x - 4)

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Find the equation of a line that passes through the points (1,-5) and (3,-6).
sdas [7]

Answer:

y = - \frac{1}{2} x - \frac{9}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, - 5) and (x₂, y₂ ) = (3, - 6)

m = \frac{-6+5}{3=2} = - \frac{1}{2} , then

y = - \frac{1}{2} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, - 5 ) , then

- 5 = - \frac{1}{2} + c ⇒ c = - 5 + \frac{1}{2} = - \frac{9}{2}

y = - \frac{1}{2} x - \frac{9}{2} ← equation of line

7 0
3 years ago
10. Find the values of x, y, and z in the diagram below.
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X = 180 - 104 - 22 = 180 - 126 = 54 degrees

y = 180 - 54 = 126 degrees

z = 180 - 126 - 19  = 180 - 145  = 35 degrees
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The coach of a softball team is holding tryouts and can take only 2 more players for the team. there are players 8 trying out. h
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Therefore, this is a question of combination.

The number of groups = 8C2 = 8!/[2!*(8-2)!] = (8*7*6*5*4*3*2*1)/[(2*1)*(6*5*4*3*2*1)] = 28 groups
6 0
4 years ago
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