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2 years ago

A line has a slope of -2 and passes through the point (1,-2). what is an equation of this line ?

Mathematics

2 answers:

Ket [755]2 years ago

4 0

Y=-2x would be the answer.

Vera_Pavlovna [14]2 years ago

3 0

Answer:

y=-2x

Step-by-step explanation:

we know linear functions can be in slope-intercept form: y=mx+b.

we are given the point (1,-2) so x=1 y=-2 and m=-2 because the slope is -2

so lets plug that into the slope-intercept form

y=mx+b

-2=-2(1)+b multiply

-2=-2+b add two on both sides

0=b

so it has the form y=-2x+0 aka y=-2x

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3 years ago

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3 years ago

Read 2 more answers

Related rates(calculus)

telo118 [61]

Answer:

The volume increases at a rate of $125663.71 mm^ 3 / s$

Step-by-step explanation:

The rate of change of the radius with respect to time is 4 mm / s.

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$\frac{dr}{dt} = 4mm / s$

Now we must find a relationship between the volume of a sphere and its radius.

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So:

$\frac{dV}{dt} = \frac{4}{3}\pi * 3r ^ 2 * \frac{dr}{dt}\\\frac{dV}{dt} = 4\pi r ^ 2 * 4\\\frac{dV}{dt} = 16\pi r ^ 2$

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So:

$\frac{dV}{dt} = 16\pi (50) ^ 2\\\frac{dV}{dt} = 40000\pi mm^3 / s$

The volume increases at a rate of :

40000 π mm ^ 3 / s = 125663.71 mm^3/s

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3 years ago