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Wewaii [24]
3 years ago
7

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

<u>Answer:</u>

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

<u>Solution:</u>

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

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neonofarm [45]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
How do you solve this do i need to plpug in the formula
Sergeeva-Olga [200]

Answer:

  B.  -2, 2

Step-by-step explanation:

Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...

  f(x) = 1/2x +1

If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.

  1/2x +1 = √(x +2)

Squaring both sides, we get ...

  1/4x² +x + 1 = x +2

  1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides

  x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4

  (x -2)(x +2) = 0 . . . . factor the difference of squares

  x = -2, 2 . . . . . . . . . values of x that make the factors zero

The solutions to f(x) = g(x) are x = -2 and x = 2.

_____

<em>Additional comment</em>

The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.

The square of (ax +b) is ...

  (ax +b)² = a²x² +2abx +b²

The point-slope equation of a line is ...

  y = mx + b . . . . . line with slope m and y-intercept b

3 0
2 years ago
Please answer with explanation of how you got the answer !!
Irina18 [472]

Answer:

−24

Step-by-step explanation:

Since there is only one negative, this means when all the values are multiplied together the product will be negative. Just multiply all three together to get −24.

(3)(−4)(2)

(−12)(2)

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It doesn't matter which order you multiply in in this case.

7 0
3 years ago
Solve x4 - 11x2 + 18 = 0.
lara31 [8.8K]

Answer:

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Step-by-step explanation:

We need to solve the equation x^4 - 11x^2+18=0  

We can replace x^4 = u^2 and x^2 = u

So, the equation will become

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taking square roots:

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so, x=√2, x=-√2, x= 3 and x=-3

6 0
2 years ago
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seropon [69]
$54 is your answer

You multiply $12.00 by 4 packs of pens and then add $6.00 for the pencils.
8 0
3 years ago
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