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3 years ago

The slope of (17,2) and (18,-17)

Mathematics

1 answer:

Ahat [919]3 years ago

4 0

m= -19/1

We need to use the slope equation

$\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

We are working with the points,

(17, 2) and (18, -17)

x1 y1 x2 y2

$\frac{-17-2}{18-17}$

m= -19/1

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frozen [14]

a) Option B Direct variation, y=1.8x is correct option.

b) Option A Not a direct variation is correct option.

Step-by-step explanation:

a) for the data in the table tell whether y varies directly with X if it does write an equation for the direct variation

The direct variation is represented by:

$y=kx \,\,or\\\frac{y}{x}=k$

We need to find k.

Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly

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Since value of k is constant i.e 1.8 so, y varies directly with x.

Option B Direct variation, y=1.8x is correct option.

b) For the data in the table tell whether Y varies directly with x if it does write an equation for the direct variation.

The direct variation is represented by:

$y=kx \,\,or\\\frac{y}{x}=k$

We need to find k.

Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly

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Since value of k is not constant so, y doesn't varies directly with x.

Option A Not a direct variation is correct option.

Keywords: Direct variation:

Learn more about Direct variation at:

#learnwithBrainly

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10
x42,300
-------------
00
000
3,000
20,000
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Amiraneli [1.4K]

Answer:

(-4 , 1)

Step-by-step explanation:

We know that the turning point of any parabola is in its vertex. The x of the vertex can be calculated with the formula:

x = -b/2a

In our case b = 8, a = 1, so:

x = - 8/2 = -4

We plug this value into our original equation and find the y of the vertex:

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