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zhannawk [14.2K]
2 years ago
13

The graph of a linear relationship has a slope of -5 and passes through the point (2, -12). Write the equation of the line in sl

ope-intercept form.
Mathematics
1 answer:
DerKrebs [107]2 years ago
5 0
<h3>Answer:</h3>

y=-5x-2

<h3>Solution:</h3>
  • We are given the line's slope and a point that it passes through.
  • Using the given information, we can write the equation of the line in Point-Slope Form:
  • y-y_1=m(x-x_1)
  • In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.
  • In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.
  • Plug in the values:
  • y-(-12)=-5(x-2)
  • y+12=-5(x-2)
  • Now, convert into Slope-Intercept Form, y=mx+b:
  • y+12=-5x+10
  • y=-5x+10-12
  • y=-5x-2

Hope it helps.

Do comment if you have any query.

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Please Help
Hitman42 [59]

ANSWER

( {y  - 8)}^{2}  =  - 28(x + 5)

EXPLANATION

The given parabola has directrix x=2.

This implies that, the parabola is opens in the direction of the negative x-axis because it must open in a negative direction to the directrix.

The equation of such parabola is of the form:

( {y  - k)}^{2}  = 4p(x - h)

where (h,k)=(-5,8) is the vertex.

|p|  = | - 2 - 5|  = 7

p =  \pm7

But the parabola opens to the left.

p=-7

The equation now becomes

( {y  - 8)}^{2}  = 4( - 7)(x   -  - 5)

( {y  - 8)}^{2}  =  - 28(x + 5)

4 0
3 years ago
What is the solution to this equation-20x=300<br> A. x=-15<br> B. x=-25<br> C. x=15<br> D. x=25
qwelly [4]
Well if it is -20 then A but if it was just 20 it would be C all you have to do is divide
300 \div 15
8 0
3 years ago
Read 2 more answers
What equation has a slope of 2 and a y intercept of -5
DIA [1.3K]

Answer:

y=  2x - 5 equation has a slope of 2 and a y intercept of -5

Step-by-step explanation:

Given:

The slope  = 2

Intercept of y = -5

To Find:

The equation of the line = ?

Solution:

The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable. The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.

The equation of the line in the slope intercept form is

y = mx+b

where

m is the slope

b is the y intercept

Now substituting the given values we get

y  = (2)x  + (-5)

y=  2x - 5

8 0
2 years ago
How did u get this and what is it I need help so bad​
morpeh [17]

Answer:

y=6x+5

Step-by-step explanation:

I am not sure if this is the answer but it's worth a try...

4 0
2 years ago
A certain animated movie earned $1.1*10^9 in revenues at the box office. The movie lasts 9.1*10^1 minutes. How much revenue was
Vadim26 [7]

Answer:

$12,087,912.1

Step-by-step explanation:

1.1*10^9  is in scientific notation, to get this into normal number, we take the decimal point and move it "9" times to the right [whatever power of 10 we have, we move to right (if positive).] Then we fillup the rest with zeros.

So we have:

1.1*10^9=1,100,000,000

This is the revenue.

We do similar process for time:

9.1*10^1=91

This is the time , in minutes.

We want revenue PER minute, that means we divide the total revenue by total time, that would be:

\frac{1,100,000,000}{91}=12,087,912.1

The revenue earned per minute is  $12,087,912.1

6 0
3 years ago
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