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3 years ago

6

Find equation of a line that has point ( 1, -2 ) and slope -4

1 answer:

Colt1911 [192]3 years ago

4 0

∵It slop=-4
∴Equation is: y=-4x+b
∵Point (1,-2) in this line
(∴We can substitute x, y to 1, -2)
∴-4×1+b=-2
∴b=2
Equation: y=-4x+2

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marin [14]

Shown in the attached figure

<h2>Explanation:</h2>

The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:

$f(x)=\mid x \mid$

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$g(x)=\mid x+2 \mid -4$

Recall that to translate a function vertically, we use the following rule:

$g(x)=f(x)+k \\ \\ \bullet \ If \ k>0 \ the \ graph \ of \ f(x) \ is \ translated \ k \ units \ up \\ \\ \bullet \ If \ k$

And to translate a function horizontally, we use the following rule:

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Since:

$c=2>0 \ and \ k=-4$

Then:

<em>g(x) is the translation of f(x) 2 units to the left and 4 units down</em>

<em />

<h2>Learn more:</h2>

Transformations in real-world problems: brainly.com/question/1033817

#LearnWithBrainly

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