Mathematics: Which equation represents the line that passes through the point (−2,2) and is parallel to y - 8= 12x ?

Ithink it is 4 if it wong i am so sorry...

Which equation represents the line that passes through

Ответ:

gabby7542

06.02.2022

Mathematics

y=12x+26

Step-by-step explanation:

We need an equation that passes through (-2,2) and is parallel to y-8=12x.

For this problem, we are going to use point slope form. Point slope form is written like this: $y-y_{1} =m(x-x_{1})$ . Parallel lines on graphs also have the same slope and different y-intercepts. Let's start plugging our known values. We will start with the slope. We know that the slope is 12, so m=12.

$y-y_{1}=12(x-x_{1})$ .

We also know that $y_{1} =2, x_{1}=-2$ . Now let's solve

$y-2=12(x+2)\\y-2=12x+24\\y=12x+26$

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Which equation represents the line that passes through the point (−2,2) and is parallel to y - 8= 12x ?

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