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3 years ago

Find the equation of the straight line passing through the points (2,-4) and (1,0)

Mathematics

1 answer:

myrzilka [38]3 years ago

4 0

Answer:

4x + y = 4

Step-by-step explanation:

Firstly calculate your gradient

;Gradient = (-4 - 0)/(2 - 1)

;Gradient = -4

Then use the formula;

y - y(y - coordinate of any of the two points given) = Gradient(x - x(x - coordinate of any of the two points given but must be from the same point as that you used in your y - coordinate))

; y - (-4) = -4(x - 2)

; y + 4 = -4x + 8

;Equation of the line..,

4x + y = 4

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Line Equation from Two Points

Verdich [7]

Hi!

We can use point-slope form to solve this.

$y-y_{1} =m(x -x_{1})$

$y_{1}$ and $x_{1}$ will be from one of the points.

First, we have to find $m$ , the slope. We can use the slope equation to get this.

$\frac{y_{1} -y_{2} }{x_{1} -x_{2} }$

Plug in your points:

$\frac{4-0}{8-(-8)} =\frac{4-0}{8+8} =\frac{4}{16} =\frac{1}{4}$

Your slope is $\frac{1}{4}$

Now plug points and slope into point-slope equation. We will use (8, 4).

$y-4=\frac{1}{4} (x-8)$

Now, if you want to get it into y = mx + b form, you have to solve for y:

$y-4=\frac{1}{4} (x-8)$

$y-4=\frac{1}{4} x-2$

$y=\frac{1}{4} +2$

Your equation is $y=\frac{1}{4} +2$

For more information on how to get the equation of a line when given two points, see here:

brainly.com/question/986503

7 0

2 years ago

Find the distance between the two points.

Ksenya-84 [330]

Hey there!

Distance formula:

d = $\sqrt{(x_{2}-x_{1})+(y_{2}-y_{1}) }$

Plug in variables:

d = $\sqrt{(0-(-6))+(0-(-7))}$

Simplify.

d = $\sqrt{6+7}$

d = $\sqrt{13}$

The distance between the two points is $\sqrt{13}$ units.

Hope this helps!

4 0

3 years ago

Each side of a square rug is 3ft 2in long. Peg has 20ft of braid to use as trim on the four sides of the rug. How much braid wil

stepan [7]

Answer:

7ft 8in is left over

Step-by-step explanation:

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3 years ago

PLZ HELP DUE IN 20 MINS

Artemon [7]

Answer:

a. D and E are similar but not congruent.

Step-by-step explanation:

Let's analyse each statement and determine which is true about the 3 given quadrilaterals:

a. "D and E are similar but not congruent." TRUE.

D is similar to E because, every segment of D is proportional to the corresponding segments of E. The ratio of their corresponding segments are equal.

D and E are not congruent because their segments are not of equal length. Thus, they have the same shape but different sizes.

b. "E and F are similar and congruent." NOT TRUE.

E and F has the same size, hence they are congruent. However, they are not similar, because they don't have the same shape. Their corresponding lengths are not proportional.

c. "D and E are similar and congruent." NOT TRUE.

Since statement (a) is TRUE, statement (c) cannot be true.

D and E are similar because they have the same shape and the ratio of their corresponding sides are the same. D and E are not congruent, because they are not of the same size.

d. "F and D are similar but not congruent." NOT TRUE.

F and D has the same size but the ratio of their corresponding sides are not the same.

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3 years ago

Answer the question with the question number thx

Fudgin [204]

Answer: B C A

Step-by-step explanation:

8 0

3 years ago