johmnaecampbell11 johmnaecampbell11
  • 03-12-2020
  • Mathematics
contestada

which equation describes the line that passes through the point (-4,-8) and is parallel to the line represented by the equation 7x - 2y = 8

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 12-12-2020

Answer:

The equation is;

2y = 7x + 12

Step-by-step explanation:

General equation form is ;

y = mx + b

where m is slope and b is y-intercept

Let us rewrite the first equation;

2y = 7x - 8

y = 7x/2 - 4

the slope here is 7/2

If two lines are parallel, their slopes are equal

so we use the point-slope form to get the second equation

y-y1 = m(x-x1)

(x1,y1) = (-4,-8)

Thus, we have

y + 8 = 7/2(x + 4)

2y + 16 = 7x + 28

2y = 7x + 12

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