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3 years ago

Write the equation of the line that passes through the point (2, -1) and has a slope of -3.

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

7 0

Answer:

The equation of the line that passes through the point (2, -1) and has a slope of -3 will be:

y = -3x + 5

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given

The point (2, -1)

Slope m = -3

substituting m = -3 and the point (2, -1) in the slope-intercept form of the line equation

y = mx+b

-1 = -3(2)+b

-1 = -6 + b

b = -1 + 6

b = 5

Thus, the y-intercept form of the line equation is b = 5

now substituting b = 5 and m = -3 in the slope-intercept form of the line equation

y = mx+b

y = -3x + 5

Thus, the equation of the line that passes through the point (2, -1) and has a slope of -3 will be:

y = -3x + 5

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the sum of ages of father and his son is 60 years.if the difference between their ages is 40 years then find the age of father a

cluponka [151]

Answer:

Father's age is 50, Son's age is 10

Step-by-step explanation:

X+Y=60

X-Y= 40

Let X represent the Father's age while Y represents the Son's age;

therefore, from the two equations, the value of X is

X= 60-Y

X= 40+Y then putting in the value of x

(40+Y) + Y= 60,

40+2Y=60

2Y=60-40 =20

Y= 10,

Now that we know the value of Y, we can get the value of x

If X+Y=60, then

X+10=60,

X=60-10,

X= 50

8 0

3 years ago

Read 2 more answers

If you answer God will bless you:

VashaNatasha [74]

Answer:

600 m³

Step-by-step explanation:

Given:

length of swimming pool = 30 m
width of swimming pool = 10 m
depth at deep end = 3 m
depth at shallow end = 1 m

To find the volume of the water in the pool, find the area of a cross section (see attached image) and multiply it by the width of the pool.

<u>Area of cross section</u>

= area of rectangle - area of triangle

= (3 × 30) - [1/2 × 30 × (3 - 1)]

= 90 - 30

= 60 m²

<u>Volume of pool</u>

= area of cross section × width

= 60 × 10

= 600 m³

6 0

2 years ago

If A and B are mutually exclusive events with P(A)= 0.3 and P(B)= 0.5, then P(A and B)=

arsen [322]

Answer:

$P (A\ and\ B) = 0$

Step-by-step explanation:

By definition if two events are mutually exclusive then they are disjoint events, that is, they can not occur at the same time.

In general terms we say that events are mutually exclusive, then:

$P (A\ and\ B) = 0$

In this case we have that

$P(A)= 0.3\\\\P(B)= 0.5$

But A and B are mutually exclusive events, then $P (A\ and\ B) = 0$

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3 years ago

Mr Bryce planted a garden in his backyard the length and width of the garden are shown below. what is the area, in square meters

VashaNatasha [74]

Answer:

A. Area = 5/9 sq.meters

Step-by-step explanation:

Area = (lenght × widht)

$A=(\frac{5}{6} )(\frac{2}{3}) =\frac{(5)(2)}{(6)(3)} =\frac{10}{18}$

simplified

$A=\frac{5}{9}$

Hope this helps

3 0

2 years ago

What do you mean by mean (average)?collect the age of 8friends and calculate their average ages.

Arada [10]

Answer:

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Step-by-step explanation:

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Hopefully this helped

7 0

3 years ago