Question

Write the equation of a line that is parallel to the line 2x+y=8 and passes through the point (-2,1)

Answer 1

Parallel lines have the same slope. So first, find out the slope of 2x + y = 8, by putting it in y = mx + b

Answer 2

y=2x+8

Answer 3

So the slope is 2

Now we're given the points (-2, 1)

So slope = 2
Points = (-2, 1)

Plug those into: y - y1 = m(x - x1) Where y1 and x1 are points and m is the slope

Answer 4

So the equation is y-1=2x+4

Answer 5

No put that in y = mx + b

Answer 6

y=2x+4

Answer 7

There's your equation.

Answer 8

Thanks

Answer 9

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