All categories

3 years ago

Which is the slope of the line that passes through the points (-2, 4) and (5, -1)?

Mathematics

2 answers:

Anton [14]3 years ago

8 0

Answer:

The slope of the line passing through the points (-2, 4) and (5, -1) is $\frac{-5}{7}$

Solution:

We know the slope intercept of the line is given by $y = mx + c$ , where m is the slope of the line and c is a constant

To find the value of ‘m’ we use the given formula

$m = \frac{(y_2- y_1)}{(x_2- x_1 )}$

Here ,

$x_1= -2$

$x_2= 5$

$y_1= 4$

$y_2= -1$

Substituting the values in formula for m, we get

$m=\frac{-1-4}{5-(-2)}$

$m=\frac{-1-4}{5+2)}$

$m=\frac{-5}{7)}$

Therefore the slope of the line passing through the points (-2, 4) and (5, -1) is $\frac{-5}{7}$

coldgirl [10]3 years ago

4 0

Answer:

<h2>The slope is -5/7</h2>

Step-by-step explanation:

you can solve it many ways but i solved it this way

you take ur y2 and y1 and set it over x2 and x1

you get -1-4 / 5- -2

simply it

and it gives you -5/7

You might be interested in

3. Write an equation in slope-intercept form of the line that passes

kirill115 [55]

Answer:

B. y = 2x - 9

Step-by-step explanation:

All of the answer choices has a slope of 2, but B is the only answer choice that has (4,-1) on its line.

You can tell by plugging the point into the equation and seeing if the result is true.

y = 2x - 9

-1 = 2(4) - 9

-1 = 8 - 9

-1 = -1

4 0

2 years ago

Read 2 more answers

(X^3+1)dividend (x-1)

bazaltina [42]

$x^3=x\cdot x^2$ and $x^2(x-1)=x^3-x^2$ . So we have a remainder of

$(x^3+1)-(x^3-x^2)=x^2+1$

$x^2=x\cdot x$ and $x(x-1)=x^2-x$ . Subtracting this from the previous remainder gives a new remainder

$(x^2+1)-(x^2-x)=x+1$

$x=x\cdot1$ and $1(x-1)=x-1$ . Subtracting this from the previous remainder gives a new one of

$(x+1)-(x-1)=2$

and we're done since 2 does not divide $x$ . So we have

$\dfrac{x^3+1}{x-1}=x^2+x+1+\dfrac2{x-1}$

4 0

2 years ago

Resultado de esta cuenta Explicada cuenta completa: (6+3)²=

Mumz [18]

81 is the correct answer

hope it helps you have a good day

7 0

2 years ago

What percent of 146 is 39

marissa [1.9K]

Answer:

39 is 26.71% of 146

Step-by-step explanation:

Percentage solution with steps:

Step 1: We make the assumption that 146 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100% = 146.

Step 4: In the same vein, x% = 39.

Step 5: This gives us a pair of simple equations:

100% = 146(1).

x%=39(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have

100/x% = 146/39

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% / 100% = 39/146 ⇒ x= 26.71%

Therefore, 39 is 26.71% of 146.

hope it helps:)

7 0

3 years ago

One day, eleven babies are born at a hospital. Assuming each baby has an equal chance of being a boy or girl, what is the probab

Andrews [41]

You only need to consider the situations where 10 or 11 of the babies are girls, then subtract those probabilities from 1. This will give probability that any other number up to 9 of the babies are girls.

Use binomial theorem.
$P(x=k) = (nCk) p^k (1-p)^{n-k}$

n = 11
k = 10,11
p = 1/2

$P(x=10) = 11 (\frac{1}{2})^{11} = \frac{11}{2048} \\ \\ P(x=11) = 1(\frac{1}{2})^{11} = \frac{1}{2048} \\ \\ P(x \leq 9) = 1 - \frac{11}{2048} - \frac{1}{2048} \\ \\ P(x \leq 9)=\frac{2036}{2048} = \frac{509}{512}$

4 0

3 years ago