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2 years ago

Line equations from point/slope

Mathematics

1 answer:

babunello [35]2 years ago

8 0

Answer:

The answer is

$y = \frac{1}{4} x + 3$

Step-by-step explanation:

Plug in and solve the equation. We are trying to find the y-intercept:

$y= \frac{1}{4}x + b \\ 2 = \frac{1}{4} ( - 4) + b \\ 2 = - 1 + b \\ \frac{ + 1 = + 1 \: \: \: \: \: \: \: \: }{3 = b}$

We found the y-intercept, so now we plug it in it's right full spot in the formula.

$y = \frac{1}{4} x + 3$

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10 is the answer

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1 year ago

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2 years ago

Solve for linear inequality of x - 1 ≥ 4 + x

defon

$\huge\bf{ANSWER:}$

$\huge\mathrm{No\:solution.}\checkmark$

$\huge\bf{SOLUTION}:$

Hey there, hope you are having a wonderful day! :)

Let's solve this inequality.

First of all, let's move all the numbers to the right, using the $\bf{\underline{opposite\:\:operation\:}$ :

$\longmapsto$ $\sf{x-1\geq 4+x$

$\longmapsto\sf{x\geq 4+x+1$

$\longmapsto\sf{x\geq x+5$

Now, let's move the variables to the left:

$\longmapsto\sf{x-x\geq 5$

$\longmapsto\sf{0\geq 5$

Now, as you can see, we ended up with a false statement. 0 is NOT greater than 5.

Thus, there are no values of x that make the inequality true, and the inequality has

$\bold{No\:solutions.}$

Hope you find it helpful.

Feel free to ask if you have any doubts.

$\bf{-MistySparkles^**^*$

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salantis [7]

The right answer will be c.61 that is your answer

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