A function represents a direct variation if the ratio between the output values and input values is constant. If two quantities vary directly, the points on a graph form a straight line, and the line runs through the origin.

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3 0

2 years ago

Aline crosses the coordinates (-4,4) and (2.-5). What is the slope<br> of the line?

lisabon 2012 [21]

Answer:

Step-by-step explanation:

Use the slope formula:

$m = \frac{y2 -y1}{x2 - x1}$

where m = slope

Given the coordinates

(-4, 4) ---> this means x1 = -4 , y1 = 4

(2, -5) ---> this means x2 = 2 , y2 = -5

Substitute these values into the slope formula:

$m = \frac{y2 -y1}{x2 - x1}$

$m = \frac{-5 -4}{2 - (-4)} = \frac{-9}{2+4} = \frac{-9}{6} = \frac{-3}{2}$

4 0

3 years ago

Explain why 1/6 is greater than 1/8 but less than 1/3

valentina_108 [34]

You can read fractions as one number divided by another. So 1/6 is equivalent to 1 divided by 6. It is then selfevident that the larger the denominator the smaller the number. If you have one cake and divide it between 3, 6 or eight people, three people will get a larger slice than 6 people sharing the same cake. And 6 people will get a larger slice than 8 people dividing the same cake.

6 0

3 years ago

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Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4). What is the y-coordinate of the midpoint of line segment YZ?

tatiyna

Given:

Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).

To find:

The y-coordinate of the midpoint of line segment YZ.

Solution:

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$