Assume that y varies inversely as x. If y = -8 when x = -9, find y when x = 4.

1 answer:

6 0

Y α 1/x

y = k/x Where k is the constant of proportionality.

xy = k Cross Multiplying.

k = xy

Recall y= -8 when x = -9

k = -9 * -8 = 72

Finding y when x = 4.

k = xy

72 = 4y Divide both sides by 4.

y = 72/4 = 18.

y = 18.

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Write the point-slope form of the line that passes through (-8, 2) and is parallel to a line with a slope of -8. Include all of

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Parallel lines have the same slope, so since you want a line that is parallel to a line with slope -8, your line will also have slope -8.

The slope-intercept form of the equation of a line is

y = mx + b

where m is the slope, and b is the y-intercept.

You already know you have a slope of -8, so m = -8, and you have

y = -8x + b

Now you need to find the value of b.

Use the point you know and substitute it in for x and y, and solve for b.

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2 = -8(-8) + b

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nikklg [1K]

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