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Alona [7]
2 years ago
13

Im not sure if anyone knows how to do this but if u do could u pleaseee help me with this!!!

Mathematics
1 answer:
slavikrds [6]2 years ago
6 0

Answer:

y = -2x - 5

Step-by-step explanation:

<u>1) Find the slope of the line.</u>

The slope of the original line is the same as the slope of the parallel line.

Slope formula:

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

In this case you can choose any 2 set of points on the table.

m = \frac{4 - 2}{-3 - (-2)} = \frac{4 - 2}{-3 + 2} = \frac{2}{-1} = -2

So the slope of the line is -2

<u>2) Use the point-slope formula to find the equation of the line.</u>

Point-slope formula:

y - y_{1}  = m(x - x_{1})

Now plug in the point (0, -5) and the slope -2 into the equation.

y - (-5) = -2(x - 0)

y + 5 = -2(x - 0)

To solve the equation first apply the distributive property.

y + 5 = -2x + 0

y + 5 = -2x

Next, subtract 5 from sides.

y = -2x - 5

You know have your equation in point-slope form!

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