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3 years ago

Find the slope of the line passing through the points (-9, -9) & (7, -9)

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

6 0

Answer:

There is no slope

Step-by-step explanation:

The equation for finding the slope is:

y2 - y1

------------

x2 - x1

-----------------------------------------------------------------------------------------------------------

-9 - (-9)

----------- <----------------- Here is your starting equation

7 - (-9)

-------------------------------------------------------------------------------------------------------------

-9 + 9

---------

7 + 9

-------------------------------------------------------------------------------------------------------------

---

--------------------------------------------------------------------------------------------------------------

There is no slope because you can't divide 0 by 16

Hope that helps :)

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What is the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1)?

gogolik [260]

Answer:

The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

$y=2x+3$

Hence, option D is true.

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the equation

y = 2x - 1

comparing with the slope-intercept form y = mx+b

Hence, the slope of the line y = 2x - 1 is: m = 2

We know that the parallel lines have the same slopes.

Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 2 and the point (-1, 1)

$y-1=2\left(x-\left(-1\right)\right)$

$y-1=2\left(x+1\right)$

Add 1 to both sides

$y-1+1=2\left(x+1\right)+1$

Simplify

$y=2x+3$

Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

$y=2x+3$

Hence, option D is true.

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3 years ago

Multiple this complex number (4-3i)^2

slava [35]

Answer is 7-24i tehe

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3 years ago

Let f (x) = 1/x<br> and g(x) = x² – 3x. What<br> two numbers are not in the domain of fºg?

iren [92.7K]

For this case we have the following equations:

$f (x) = \frac {1} {x}\\g (x) = x ^ 2-3x$

We must find $(f_ {o} g) (x):$

By definition of composition of functions we have to:

$(f_ {o} g) (x) = f (g (x))$

So:

$(f_ {o} g) (x) = \frac {1} {x ^ 2-3x}$

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

$x ^ 2-3x = 0\\x (x-3) = 0$