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2 years ago

In the coordinate plane, line p has a slope of 8 and y-intercept (0,3). What are the slope and y-intercept of line r?

Mathematics

1 answer:

Aleksandr [31]2 years ago

6 0

Answer:

y = 8x + 3

Step-by-step explanation:

The line we are describing here is line p;

slope of line p = 8

y- intercept = (0,3)

y-intercept of a line is the point where it crosses the y-axis. At this point, the x = 0

So;

Slope of the line = 8

y-intercept = 3

Equation of the line;

y = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

y = 8x + 3

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System of equations

nalin [4]

Answer:

The solution of the system of equations is the point (-3,0)

Step-by-step explanation:

we have

$-3x+y=9$ -----> equation A

$2x-y=-6$ -----> equation B

Adds equation A and equation B

$-3x+y=9\\2x-y=-6\\------\\-3x+2x=9-6\\-x=3\\x=-3$

Find the value of y

$-3(-3)+y=9$

$9+y=9$

$y=9-9=0$

The solution of the system of equations is the point (-3,0)

4 0

2 years ago

Peggy is thinking of a number such that when twice the number is added to three times one more than the number she gets the same

mars1129 [50]

Answer:

-7

Step-by-step explanation:

Lets assume the number Peggy is thinking of be "x".

Now as given, when twice the number is added to three times one more than the number. We can write it as

∴ $2x+3(x+1)$ --- Equation 1

Again, it is given that Peggy gets the same result as when she multiplies four times one less than the number.

∴ $4(x-1)$ -- equation 2

Next, we can equate both the equation 1 and 2 as it is given that result is same.

$2x+3(x+1)= 4(x-1)$

Let´s distribute 3 into $(x+1)$ and 4 into $(x-1)$

⇒ $2x+3x+3=4x-4$

⇒ $5x+3=4x-4$

Subtract both side by 4x and 3

∴ $x=-7$

∴ Peggy was thinking of -7

4 0

2 years ago

3.7 (negative 83 x minus 3) = 3.7 (7 x minus 30)

Leona [35]

Answer:

Step-by-step explanationnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

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3 years ago

Find the measures of a positive angle and a negative angle that are coterminal with each given angle

seraphim [82]

Answer:

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Step-by-step explanation:

4 0

3 years ago

-4(x+1)+5=17 solve for x

ahrayia [7]

-4(x + 1) + 5 = 17

Distribute -4 inside the parentheses.

(-4x - 4) + 5 = 17

Combine like terms (-4 + 5).

-4x + 1 = 17

Subtract 1 from both sides.

-4x = 16

Divide both sides by -4.

x = -4

3 0

2 years ago

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