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DochEvi [55]
2 years ago
14

What is the equation of the following line? be sure to scroll down first to see all answer options

Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
7 0

Answer:

The equation for the following graph:

y = -\frac{1}{5}x

Step-by-step explanation:

- You first need to find the slope by using the <u>slope formula</u>:

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

(where (x_{1},y_{1}) is the first point and (x_{2}, y_{2}) is the second point)

-Use the given points (0,0) and (10, -2) from the graph for the formula:

m = \frac{-2 - 0}{10 - 0}

Then, you solve:

m = \frac{-2 - 0}{10 - 0}

m = -\frac{1}{5}

After you have found the slope, use the slope -\frac{1}{5} and the first point (0,0) for the <u>point-slope formula:</u>

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

<u>(</u>where m is the slope and (x_{1}, y_{1}) is the first point)

y - 0 = -\frac{1}{5}  ( x - 0)

Then, you solve:

y - 0 = -\frac{1}{5}  ( x - 0)

y - 0 = -\frac{1}{5}x - 0

y - 0 + 0 = -\frac{1}{5} - 0 + 0

y = -\frac{1}{5}x

So, the equation for the following graph is y = -\frac{1}{5}x .

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