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3 years ago

Find the equation of the line slope =-4 through (-2,9)

Mathematics

1 answer:

almond37 [142]3 years ago

7 0

Answer:

y = -4x + 1

Step-by-step explanation:

Okay, one way we can find the equation is to plug the x and y values into y = mx + b

We m (slope) is -4 so

y = -4x + b

We want to find b so we plug in x and y (-2 and 9)

9 = -4 (-2) + b

9 = 8 + b

In this case, b is 1

Now we plug this to make our equation,

y = -4x + 1

You might be interested in

A warehouse employs 22 workers on first shift and 14 workers on second shift. Eight workers are chosen at random to be interview

lara [203]

36 all together.
22 first
14 second
8 random chosen

A) all first shift:
One is pulled 22/36
Second is pulled 21/35
Third is pulled 20/34
Fourth 19/33
Fifth 18/32
Sixth 17/31
Seventh 16/30
Eighth 15/29

Multiply all those together
Probability of all first shift is 0.010567296996663
(That means it's not happening anytime soon lol)

B) one worker 14/36
Second 13/35
Third 12/34
Fourth 11/33
Fifth 10/32
Sixth 9/31
Seventh 8/30
Eighth 7/29

Multiply all those together
Probability of all second shift is 0.000099238805645
(That means it's likely to see 100x more picks of all first shift workers before you see this once.. lol)

C) 22/36
21/35
20/34
19/33
18/32
17/31

Multiply..
Probability.. 0.038306451612903

D) 14/36
13/35
12/34
11/33

X... p=0.016993464052288

Probably not correct, haven't done probability in years.

8 0

3 years ago

7. Which of the following can be determined from the graph below?

tatyana61 [14]

Answer:

The ordered pair (6,25) is a solution to both

$y=-\frac{5}{2}x+40$ and $y=\frac{5}{3}x+15$

Step-by-step explanation:

Part 7)

step 1

Find the equation of the line with positive slope

take the points (0,15) and (9,30)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{30-15}{9-0}$

$m=\frac{15}{9}$

simplify

$m=\frac{5}{3}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{5}{3}$

$b=15$

substitute

$y=\frac{5}{3}x+15$

step 2

Find the equation of the line with negative slope

take the points (0,40) and (8,20)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{20-40}{8-0}$

$m=-\frac{20}{8}$

simplify

$m=-\frac{5}{2}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-\frac{5}{2}$

$b=40$

substitute

$y=-\frac{5}{2}x+40$

step 3

Find the solution of the system

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (6,25) ----> see the graph

therefore

The ordered pair (6,25) is a solution to both $y=-\frac{5}{2}x+40$ and

$y=\frac{5}{3}x+15$

7 0

3 years ago

PLEASE HELP ME I'LL MARK BRAINLIST

postnew [5]

Answer:

(2,3)

Step-by-step explanation:

3 0

3 years ago

work it out "the equation 1.5r + 15=2.25r represents the number r of movies u must rent to spend the same amount at each movie s

Alex17521 [72]

Answer:

Step-by-step explanation:

Your equation is correct. To solve it subtract 1.5r from both sides and divide by the resulting coefficient of r.

15 = 0.75r

15/0.75 = r = 20

You must rent 20 movies for the costs to be the same.

4 0

3 years ago

Square root of x plus 8 end root minus 6 equals x

Pachacha [2.7K]

Answer:

Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.

Step-by-step explanation:

The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.

[√(x + 8)]² = (x + 6)²

x + 8 = x² + 12x + 36

x² + 11x + 28 = 0

x² + 7x + 4x + 28 = 0

(x + 7)(x + 4) = 0

x = -7 and x = -4

The possible values of x are -7 and -4.

For more explanation, refer the following link:

brainly.com/question/10572241

#SPJ10

5 0

2 years ago