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Rudiy27
3 years ago
6

Find the slope of the line that goes through (1, 3) and (-2,-6).

Mathematics
1 answer:
monitta3 years ago
3 0

Answer:

m= -3

Step-by-step explanation:

slope intercept formula

(y2-y1)/ (x2-x1)

-6-3= -9

-2-1=-3

-9/3 =-3

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inessss [21]

Answer:

Center (-13,11) , radius 3

Step-by-step explanation:

The given circle has equation

x^2+y^2+26x-22y+281=0

We compare this to the general equation.

x^2+y^2+2ax+2by+c=0

where (-a,-b) is the center.

This implies that;

2a=26

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2b=-22

b=-11

The center is therefore (-13,11)

The radius is given by

r=\sqrt{a^2+b^2-c}

r=\sqrt{13^2+(-11)^2-281}

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3 years ago
Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for
yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

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

we have the ordered pairs

(100,54) and (660, 138)

substitute

m=\frac{138-54}{660-100}

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step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=0.15\\point\ (100,54)

substitute

y-54=0.15(x-100)

step 3

Convert to slope intercept form

Isolate the variable y

y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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