What would this answer be?

Write the equation of each line using the given information.

Leni [432]

a) x – 2y + 6 = 0 b) x + y = 1 c) y = 1 d) y = -3x + 8

<h3>Solution:</h3>

a. The points (-4,1) and (2,4) both lie on the line

The general line equation on which (a, b) and (c, d) lies is:

$y-\mathrm{b}=\frac{d-b}{c-a}(x - a)$

Here the given points are (a, b) = (-4, 1) and (c, d) = (2, 4)

Thus the required equation is:

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

On solving we get,

$\begin{array}{l}{\rightarrow y-1=\frac{3}{2+4}(x+4)} \\\\ {\rightarrow y-1=\frac{3}{6}(x+4)} \\\\ {\rightarrow 2(y-1)=1(x+4)} \\\\ {\rightarrow 2 y-2=x+4} \\\\ {\rightarrow x-2 y+6=0}\end{array}$

b.) m= -1 and the point (2, -1) lies on the line

The equation of line in point slope form is y – b = m(x – a)

where m is slope and (a, b) is a point on it

Here m = -1 and (a, b) = (2, -1)

Thus the required equation is:

y – (-1) = -1(x - 2)

y + 1 = -x + 2

y = -x + 2 -1

y = -x + 1

c. )It has the same slope as y = 5 and passes through (1, 1)

our line has same slope with y = 5, then our equation would be y = k and it passes through (x, y) = (1, 1) so, then by substitution

1 = k

k =1

Then our equation will be y = k

y = 1

d. ) m= -3 and it has a y-intercept of (0, 8)

line equation in slope intercept form is y = mx + b where m is slope and b is y – intercept.

Then, our equation will be y = -3x + 8

We took y- intercept = 8 as it is the value of y when x = 0

6 0

2 years ago

here you go:) [(-2/3, 7/2]. 3x-8y = 1. * 16x+2y=1114. + 24x+8y=44. 27y=45. (2x-5y=-472. 4x+3y=5. - 4x70y=8. 13y=13. 27 27. (5x-2

deff fn [24]

Answer:

Step-by-step explanation:

BRO I DONT KNOW HELP CRI

8 0

2 years ago

Ariana and Sean went out to dinner with their parents. The price paid for their meal was $75.60 before taxes. The sales tax rate

Anon25 [30]

Answer:

$97.524

Step-by-step explanation:

8 0

1 year ago

Crayola makes 3 red crayons for every 2 brown crayons. On Tuesday, their factory made 1,000 more red crayons than brown. How man

miskamm [114]

Answer:

They make 2000 brown crayons on that day.

Step-by-step explanation:

Given:

Crayola makes 3 red crayons for every 2 brown crayons.

On Tuesday, their factory made 1,000 more red crayons than brown.

Now, to find the number of brown crayons they make that day.

Let the numbers of brown crayons be $x.$

So, the number of red crayons = $1000+x.$

As given, 3 red crayons for every 2 brown crayons.

So, the ratio is 3:2.

Thus, 3 is equivalent to 2.

So, 1000+ $x$ is equivalent to $x.$

Now, to get the number of brown crayons by using cross multiplication method:

$\frac{3}{2} =\frac{1000+x}{x}$

By cross multiplying we get:

$3x=2000+2x$

Subtracting both sides by 2 $x$ we get:

$x=2000.$

Therefore, they make 2000 brown crayons on that day.

7 0

2 years ago

PLEASE HELPPPPPPPPPPPPP

Fed [463]

Answer:

10 , 8

Step-by-step explanation:

because those numbers match up with the x

7 0

2 years ago