All categories

2 years ago

A line passes through the points (4, -1) and (2,3). What is the slope of the line?

Mathematics

1 answer:

Paha777 [63]2 years ago

3 0

Answer:

-2

Step-by-step explanation:

To find the slope of a line with 2 given points, you use the formula

m=y2-y1/x2-x1

Now you plug in the points which would be m=3-(-1)/2-4 which equals m=4/-2

4/-2 equals -2

The slope is -2

You might be interested in

Find two numbers whose ratios is 3 to 5 and whose sum is 88

Tomtit [17]

Answer:

33 and 55

Step-by-step explanation:

$\frac{x}{y}: \frac{3}{5}$

x + y = 88

3 + 5 = 8

$y(\frac{x}{y}): y(\frac{3}{5})$

$x= \frac{3}{5}y$

$y+\frac{3}{5}y=88$

$\frac{8y}{5}=88$

$5(\frac{8y}{5})=5(88)$

8y = 440

8y ÷ 8 = 440 ÷ 8

y = 55

x + y = 88

x + 55 = 88

x + 55 - 55 = 88 - 55

x = 33

5 0

2 years ago

6) Convert 2pie/3 to degrees<br> A) 30°<br> B) 60°<br> 120°<br> D) 240°

Gennadij [26K]

It would be c . 1.20

4 0

2 years ago

What is the negative x-intercept of the graph of the quadratic function f(x) = 5x2 + 4x - 1?

iragen [17]

The answer should be y = 5x^2+4x-1

8 0

2 years ago

The taxi fare in Metropolis is $3.75 for the first mile and additional mileage charged at the rate of $0.30 for each additional

Alexxx [7]

Answer:

Total charge

4.25

1.50

(

−

)

Total charge for 12 miles

20.75

Explanation:

Building the rule

The trick with algebra is to think what you would do with numbers, then substitute letters.

Mile number 1 costs

4.25

The rest of the miles

⇒

(

total miles

−

)

1.50

Putting this all together we have:

4.25

(

total miles

−

)

1.50

The question instructs that we are to use the letter m for the total miles so we now have:

4.25

(

−

)

1.50

This would be written as:

4.25

1.50

(

−

)

Total charge

4.25

1.50

(

−

)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Determine the charge for 12 miles

Total charge

4.25

1.50

(

−

)

Total charge

4.25

1.50

(

)

Total charge for 12 miles

4.25

16.50

20.75

Hope this helps you...

7 0

2 years ago

Read 2 more answers

While visiting a memorial, a person approximated the angle of elevation to the top of the memorial to be 35º. After walking 255

Alenkasestr [34]

Draw a diagram to illustrate the problem as shown in the figure below.

Let h the height of the hill. =

At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.

By definition,

tan(40°) = h/x h = x tan40 = 0.8391x

(1)

At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is

40 + 18 = 58°.

By definition, tan(58°) = h/(x - 450)

h = (x - 450) tan(58°) = 1.6003(x-450)

h = 1.6003x - 720.135 (2)

Equate (1) and (2).

1.6003x - 720.135 = 0.8391x 0.7612x = 720.135

x = 946.0523

From (1), obtain

h = 0.8391*946.0523 = 793.8 ft

Answer: The height of the hill is approximately 794 ft (nearest integer)

6 0

2 years ago