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3 years ago

Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not mixed number or decimal.

Mathematics

1 answer:

Vesna [10]3 years ago

4 0

Answer:

<em>The slope is:</em>

$m=-\frac{3}{2}$

Step-by-step explanation:

The slope m of a line is calculated using the following formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Where the points $(x_1, y_1)$ and $(x_2, y_2)$ are two points belonging to the straight line

Notice in the graph that the line passes through the points

(0, 2) and (2, -1)

Then the slope is:

$m=\frac{-1-2}{2-0}$

$m=\frac{-3}{2}$

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Write parametric equations of the line through the points (7,1,-5) and (3,4,-2). please use the first point as your base-point w

Roman55 [17]

Given:

A line through the points (7,1,-5) and (3,4,-2).

To find:

The parametric equations of the line.

Solution:

Direction vector for the points (7,1,-5) and (3,4,-2) is

$\vec {v}=\left$

Now, the perimetric equations for initial point $(x_0,y_0,z_0)$ with direction vector $\vec{v}=\left$ , are

$x=x_0+at$

$y=y_0+bt$

$z=z_0+ct$

The initial point is (7,1,-5) and direction vector is $\vec {v}=\left$ . So the perimetric equations are

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Similarly,

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$z=-5+3t$

Therefore, the required perimetric equations are $x=7-4t, y=1+3t$ and $z=-5+3t$ .

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3 years ago

Pleeasee help this is khan academy :(

Dahasolnce [82]

Answer:

1/2

Step-by-step explanation:

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2 years ago

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Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.

Alborosie

Assume that the rule connecting height of the candle to time is a linear one. If you do, then we have to find the equation of this line, and then use this equation to predict the height of the candle after 11 hours.

Two points on this line are (6,17.4) and (23, 7.2). The slope is thus
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m = --------------- = ----------- or -3/5.
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