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2 years ago

A line that includes the point (0, -2) has a slope of -3. What is its equation in slope-intercept form?

Mathematics

1 answer:

denpristay [2]2 years ago

5 0

Answer:

$y=-3x-2$

Step-by-step explanation:

Equation of straight line in slope intercept form is given as

$y=mx+b$ -------- (1)

Here $m=-3$ and $(x_1, y_1)=(0, -2)$

$y-y_1 = m(x-x_1) \\ y+2 = - 3(x-0) \\ y =-3x-2$ ----------- (2)

Comparing (1) and (2)

m=-3 and b=-2

Equation (2) is equation of straight line with slope -3 and y-intercept -2 in slope intercept form

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Igoryamba

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3 years ago

A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,

zloy xaker [14]

Answer:

$t=-20ln\left(\dfrac{1}{3}\right)$

Step-by-step explanation:

The relationship between A, the area of the glacier in square kilometers, and t, the number of years the glacier has been melting, is modeled by the equation.:

$A=45e^{-0.05t}$

We want to determine the value of t for which the area, A(t)=15 square kilometers.

$15=45e^{-0.05t}\\$Divide both sides by 45\\\dfrac{15}{45} =\dfrac{45e^{-0.05t}}{45}\\\dfrac{1}{3}=e^{-0.05t}\\$Take the natural logarithm of both sides\\ln\left(\dfrac{1}{3}\right)=ln\left(e^{-0.05t}\right)\\ln\left(\dfrac{1}{3}\right)=-0.05t\\$Divide both sides by -0.05$\\t=-\dfrac{ln\left(\dfrac{1}{3}\right)}{0.05} \\=-\dfrac{ln\left(\dfrac{1}{3}\right)}{0.05}\\t=-20ln\left(\dfrac{1}{3}\right)$

Therefore, the time for which the area will be 15 sqyare kilometers is:

-20 ln(1/3) years.

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3 years ago

Emily and Molly are selling pies for a school fundraiser. Customers can buy cherry pies and lemon pies. Emily sold 4 cherry pies

Natalka [10]

Answer:

<h2>cherry pie = 5</h2><h2>lemon pie =10</h2>

Step-by-step explanation:

Step one:

let cherry be x

and lemon be y

the systems of the equation for the solution is given as

4x+y=30-----------1

8x+6y=100------2

Step two:

solve the equation simultaneously by substitution we have

4x+y=30

y=30-4x

put y=30-4x in equation 2

8x+6(30-4x)=100

8x+180-24x=100

8x-24x=100-180

-16x=-80

x=80/16

x=5

put x=4 in y=30-4x

y=30-4(5).

y=30-20

y=10

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3 years ago

Examine the rotation. Which best describes point D?

larisa86 [58]

Answer:

Center of rotation

Step-by-step explanation:

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3 years ago

Which linear function has the steepest slope? Whoever answers this first I will mark them brainless

liubo4ka [24]

Answer:

y=-8x+5

Step-by-step explanation:

The others have a slope of -2, 7, and 6, which is not as steep as -8.

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3 years ago

Read 2 more answers