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Allisa [31]
2 years ago
6

What is an equation of the line that passes through the point (-2,-6) and is parallel to the line x+2y=8x+2y=8?

Mathematics
1 answer:
poizon [28]2 years ago
3 0

Answer:

y= -x/2-7

Step-by-step explanation:

We need to write an equation of the line that passes through the point (-2, -6) and is  parallel to the line x + 2y = 8

We need to find slope m and y-intercept b for the new line.

First we need to find slope m of the new line.

The given line x+2y=8 is parallel to new line.

When lines are parallel, there slope is same.

First writing equation in slope-intercept form:  where m is slope and b is y-intercept

Now comparing with  the slope is :

Now finding y-intercept b

Using point (-2,-6) and slope  we can find y-intercept

So, we get y-intercept b = -7

Now the equation of required line having slope  and y-intercept b = -7 is:

So, the equation of new line is:

You might be interested in
Y=2/7 -7 y=-x+2 What is the solution for this system of equations?​
bulgar [2K]

Answer:

(61/7, -47/7)

Step-by-step explanation:

Given: y=2/7 -7

           y=-x+2

Rewrite the top equation ( y=2/7 -7

y = -47/7

y = -x + 2

Because both equations are equal to y, we can rewrite it again.

-47/7 = -x + 2

Add x to both sides

x + (-47/7) = 2

Add 47/7 to both sides.

x = 47/7 + 2/1

x = 61/7

As stated in the beginning, y is equal to -47/7

Hope you understand!

5 0
3 years ago
Find two points on the line to be graphed 2y+16=0
yarga [219]
Y=-8 so any x with the coordinate -8 for y i guess. 
4 0
3 years ago
Which coefficient in the function tells us that the parabola for the function will point downward? y = -2x2 5x - 4
Ludmilka [50]
The answer is 16 I think because 2*2=4*5=20-4=16 so I think 16 is the right answer
5 0
3 years ago
A,B,C, and D are all answer choices
ruslelena [56]

Answer:

Empirical formula

0.34

0.33

0.33

A^c = event B or event C

Step-by-step explanation:

A = roommate A wins the game

P(A) = (Rock A and Scissors B) + (Scissors A and paper B) + (paper A and rock B)

P(A) = (0.36*0.53) + (0.32*0.25) + (0.32*0.22) = 0.3412

C = game ends in a tie :

P(C) = (RockA and rockB) + (ScissorsA and ScissorsB) + (ScissorsA and ScissorsB)

P(C) = (0.36*0.22) + (0.32*0.53) + (0.32*0.25) = 0.3288

P(B) = 1 - P(A) - P(C)

P(B) = 1 - 0.3412 - 0.3288

P(B) = 0.33

Complement of event A =event B or event C

4 0
3 years ago
Write the equation of the line that passes through the points (4,5) and (4, -6). Put
frutty [35]
The equation that passes through these points is x = 4
6 0
2 years ago
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