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Kaylis [27]
3 years ago
12

Without simplifying, identify the slope of the line given by the equation y-5=-2(x+5)

Mathematics
1 answer:
CaHeK987 [17]3 years ago
7 0
Slope is a number in front of x, so slope is (-2)

y-y1=m(x-x1)
y-5= -2(x+5)
y-5= -2(x-(-5))
so y1=5, x1=-5, a point is  (x1,y1), so the point is (-5,5)
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Find the equation of the line that has slope of 7 and passes through the point (-9,2).
lawyer [7]

Answer:

y=7x+65

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-9,2) and has a slope of 7.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 7. So you can right away fill in the equation for a line somewhat to read:

y=7x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-9,2). When x of the line is -9, y of the line must be 2.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-9,2).

So, why not plug in for x the number -9 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-9,2). y=mx+b or 2=7 × -9+b, or solving for b: b=2-(7)(-9). b=65.

The equation of the line that passes through the point (-9,2) with a slope of 7

is

y=7x+65

Have a nice day!

5 0
2 years ago
The constant of proportionality for this relationship is
Vera_Pavlovna [14]

Answer: The constant of proportionality is 1.5

Step-by-step explanation:

The equation for constant of proportionality is y=KX. the K stands for the constant of proportionality and since the constant proportionality is 1.5 you will take 1.5 * x and for example x is 2 so you do 1.5 * 2 and you get 3 and 3 is your y. If you plug in the equation you're saying 3 equals 1.5 * 2 which is right.

7 0
3 years ago
Read 2 more answers
Simplify -6x(9-12) ??
olga55 [171]
18x. Is your answer. :)
6 0
3 years ago
Read 2 more answers
A number is 6 times another number and their difference is 30. What are the numbers? ​
Alenkasestr [34]

Answer:

x=36

y=6

Step-by-step explanation:

Let the numbers be x and y

Condition 1

x=6y ----------(1)

Condition 2

x-y=30 ------------(2)

Putting 1 in 2

6y-y=30

5y=30

Dividing both sides by 5

y=6

Now

Putting y=6 in 1

We get

x=6(6)

x=36

8 0
3 years ago
On 1, I need help, and for 2, is the answer right?
kramer

Answer:

1.A 2.yes

Step-by-step explanation:

PEMDAS

5 0
2 years ago
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