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miv72 [106K]
3 years ago
7

Complete the equation of the line through (-10,-7)(−10,−7)(, minus, 10, comma, minus, 7, )and (-5,-9)(−5,−9)(, minus, 5, comma,

minus, 9, ).
Use exact numbers.
Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Answer:

y = -\frac{2}{5}\cdot x - 11

Step-by-step explanation:

First, the slope is determined by using the following expression:

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

m = \frac{-7-(-9)}{-10 - (-5)}

m = -\frac{2}{5}

The y-intercept is found by using the line equation, the slope and one point:

y = m \cdot x +b

b = y - m\cdot x

b = -7 - \left(-\frac{2}{5}\right)\cdot (-10)

b = -11

The equation of the line is:

y = -\frac{2}{5}\cdot x - 11

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