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3 years ago

What is an equation of the line that passes through the points (-4,1) and (4,4)?

Mathematics

1 answer:

Ray Of Light [21]3 years ago

8 0

Answer:

y = $\frac{3}{8} x + \frac{5}{2}$

Step-by-step explanation:

☆Remember: $m = \frac{y_2 - y_1}{x_2 - x_1}$

☆Remember: Slope-intercept form -> y = mx + b

☆Now. We first need to find the slope.

$m = \frac{4 - 1}{4 - (- 4)} = \frac{3}{8}$

☆Now the y-intercept.

$y = mx + b \\ \\ 4 = \frac{3}{8} (4) + b \\ \\ 4 = \frac{3}{2} + b \\ \frac{ - \frac{ 3}{ 2} = - \frac{ 3}{ 2} \: \: \: \: \: \: \: \: \: \: }{ \frac{5}{2} = b }$

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Four points partition the directed line segment from A to B. • Point P partitions the directed line segment from A to B into a 3

Alecsey [184]

Answer:

S is closest to B.

Step-by-step explanation:

Given a directed line segment from point A to B.

Point P divides the line A to B in a ratio 3:4.

Point Q divides the line A to B in a ratio 4:3.

Point R divides the line A to B in a ratio 2:5.

Point S divides the line A to B in a ratio 5:2.

To find:

The point which is closest to the point B.

Solution:

Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.

We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.

Let the distance between A and B be 7 units.

Now, the distances can be found easily.

$PB = \dfrac{4}{7}\times 7 = 4\ units$

$QB = \dfrac{3}{7}\times 7 = 3\ units$

$RB = \dfrac{5}{7}\times 7 = 5\ units$

$SB = \dfrac{2}{7}\times 7 = 2\ units$

The point which has the minimum distance from point B, will be nearest to B.

We can clearly observe that SB is the minimum distance.

Therefore, <em>S is closest to B</em>.

4 0

3 years ago

Read 2 more answers

X^2 -50x+456=0 solve this algebraiclly find x

bagirrra123 [75]

Answer:

$x=-406$

Step-by-step explanation:

$x^2-50x+456=0$

$x^2-50x=-456$

This is because we subtract 456 from each side.

$x-50=-456$

We then divide the whole equation by <em>x</em> .

$x=-406$

Adding 50 to both sides gives us <em>x</em> by itself, hope this helps :D

8 0

2 years ago

Read 2 more answers

An item that is 20% off is sold for 48$ what was the original price

solniwko [45]

Answer:

9.6

trust me I double checked and everything

7 0

3 years ago

Angela bought a bookmark in the shape of an arrow as shown below. The base and height of the triangle are both 3 inches.

Lina20 [59]

The area of a 2D form is the amount of space within its perimeter. The area of the arrow is 11.25 in².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

For the given problem, the image is given below.

The area of the arrow is,

Area = Area of rectangle + Area of triangle

= (1.5 in × 4.5 in) + (0.5×3×3)

= 6.75 in² + 4.5 in²

= 11.25 in²

Hence, the area of the arrow is 11.25 in².

Learn more about the Area:

brainly.com/question/1631786

#SPJ1

7 0

2 years ago

What’s the first 1st term in the sequence given by :T(n)=n^2-4<br> Pls help

Zepler [3.9K]

First term = T(1) is obtained by plugging n = 1 into the formula,

thus First term = 1^2 - 4 = 1 - 4

= 3 (answer)

8 0

3 years ago