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3 years ago

Given two points what’s the slope intersect form (-3, 7) and (1, -1)

Mathematics

1 answer:

UNO [17]3 years ago

5 0

Change in y over the change in x
-1-7=-8
1- -3=4

-8 divided by 4

Slope=-2

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Please help me, solve for y 2x-y=5

Novosadov [1.4K]

2x−y=5

Add -2x to both sides.

2x−y+−2x=5+−2x

−y=−2x+5

Divide both sides by -1.

$\frac{-y}{-1} = \frac{-2x+5}{-1}$
‌y=2x−5

Answer:

y=2x−5

3 0

3 years ago

The coordinates of L and M are (3, 6) and (9, 8) respectively. X is the mid-point of LM, determine the coordinate of the point X

chubhunter [2.5K]

The formula is (x1+x2)/2 will give you the x of the mid point.

(y1+y2)/2 will give you the y of the mid point.

So, (3+9)/2= 6
And (6+8)/2=7

The mid point is (6:7)

4 0

3 years ago

4) The quantities x and y are in proportion x 4 30 8 __b__ a) b) c) y 6 45 __a__ 15 Find the value of a and b. Find the constant

Ivan

Question:

The quantities x and y are in proportion

x y

4 6

30 45

8 b

a 15

(a) Find the values of a and b.

(b) Find the constant of variation. Is it direct variation or inverse variation?

Answer:

$a = 10$ and $b = 12$

Constant of variation is 1.5

Direct Variation

Step-by-step explanation:

Solving (a): The values of a and b

First, we determine the equation that relates x and y

From the table, we have:

$(x_1,y_1) = (4,6)$

$(x_2,y_2) = (30,45)$

The slope (m) is:

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

$m = \frac{45 - 6}{30 -4}$

$m = \frac{39}{26}$

$m = 1.5$

The equation is then calculated using:

$y - y_1 = m(x - x_1)$

This gives:

$y - 6 = 1.5(x - 4)$

$y - 6 = 1.5x - 6$

$y = 1.5x$

Solving for the value of b

From the table: x = 8, y = b

Substitute these values in $y = 1.5x$

$b = 1.5 * 8$

$b = 12$

Solving for the value of a

From the table: x = a, y = 15

Substitute these values in $y = 1.5x$

$15 = 1.5 * a$

Solve for a

$a = \frac{15}{1.5}$

$a = 10$

Solving (b): The constant of variation.

This has been solved in (a) above as:

$m = 1.5$

Direct or Inverse?

From the given table, we notice that y increases as x increases and y decreases as x decreases.

This shows direct variation

3 0

2 years ago

What is the answer to this?

OlgaM077 [116]

Answer:

Step-by-step explanation:

Note how this drawing is symmetrical about a horizontal line drawn halfway between AB and CD and passing through the origin.

Line AB has been subdivided into two equal pieces of length 15, so the length of AB is twice 15, or 30. Due to the symmetry shown, line CD has the same length: 30.

6 0

3 years ago

A rancher has 400 feet of fencing to put around a rectangular field and then subdivide the field into 3 identical smaller rectan

MAXImum [283]

Answer:

longer parallel sides are 150ft each with 4 shorter sides at 25ft each making a rectangle and 3 identical sections.

Step-by-step explanation:

150 + 150 = 300

4 ×25 = 100

300+100=400

5 0

3 years ago