All categories

2 years ago

Construct a linear equation for the table. What is the slope of the line

Mathematics

1 answer:

Klio2033 [76]2 years ago

3 0

We have points (-3, 4), (-1, 2), (4, -3) and (6,-5)

Let's verify it's a line by calculating the slopes between successive points.

Slope is change in y over change in x.

(2 - 4)/(-1 - -3) = -2/2 = -1

(-3 - 2)/(4 - -1) = -5/5 = -1

(-5 - -3)/(6 - 4) = -2/2 =-1

Yup. We have a line of slope -1 through point (-1, 2)

y - 2 = -1(x - -1)

y = -x - 1 + 2

y = -x + 1

That's the linear equation for the table.

Answer: Linear equation: y = -x + 1 slope = -1

You might be interested in

What is the following shows the factors of 5x^2+17x+6

ElenaW [278]

(5x+2)(x+3)

Explanation:

Find factors of 5and 6 whose products ADD to 17

It might take a bit of trial and error to find the correct combination of factors.

........5 and 6
.......↓ ↓
........5 2 →1×2=2
........1 3 →5×3=15−−
...............................................17

6 0

2 years ago

Read 2 more answers

Find the coordinates of P ' if D o, 2.4 (x,y) is applied to the triangle below

guajiro [1.7K]

Answer:

The coordinates of P' are (4.8,-4.8).

Step-by-step explanation:

The rule of dilation $D_{o,2.4}(x,y)$ represent the dilation with scale factor 2.4 and center at origin.

If the scale factor of the dilation is k and the center is (0,0), then

$(x,y)\rightarrow (kx,ky)$

Since the scale factor is 2.4, therefore

$(x,y)\rightarrow (2.4x,2.4y)$

From the given figure it is noticed that the coordinates of P are (2,-2). The coordinates of P' are

$P(2,-2)\rightarrow P'(2.4(2),2.4(-2))$

$P(2,-2)\rightarrow P'(4.8,-4.8)$

Therefore the coordinates of P' are (4.8,-4.8).

3 0

3 years ago

The graph of f (0) = -4 cos 0 is shown below. The range of this function is

Anika [276]

Answer:

-4 ≤ f ( $\theta$ ) ≤ 4

Step-by-step explanation:

The range of a function is the allowed y-values of the function.

We can simply look at the periodic function below and see that the y-value ranges from a negative 4 to a positive 4. It oscillates betwen -4 and 4. That is the range.

We can say -4 ≤ f ( $\theta$ ) ≤ 4

Last answer choice is right.

*** NOTE: it is a type, not "0", rather " $\theta$ "

5 0

2 years ago

The time until failure of an electronic device has an exponential distribution with mean 15 months. If a random sample of five s

Ainat [17]

Answer:

The probability that the first failure occurs among the five devices is given by

(a) 9 months = $\frac{9}{15} or =0.6$

(b) 12 months= $\frac{12}{15} or = 0.8$

Step-by-step explanation:

probability is given as the; number of required outcome/ total number of possible outcome.

6 0

2 years ago

4. Find the value of k, if x = 2, y=1 is a solution of the equation 2x + 3y=k.

icang [17]

Answer:

k=7

Step-by-step explanation:

first, plug in the given values

2x+3y=k --> 2(2)+3(1)=k

-->4+3=k

-->7=k

k=7

3 0

2 years ago