Question

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.

Answer 1

y= -2/5x - 11

Explanation:

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Answer 2

`y = -(2)/(5)\cdot x - 11`

Explanation:

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

`m = (y_(2)-y_(1))/(x_(2)-x_(1))`

`m = (-7-(-9))/(-10 - (-5))`

`m = -(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(-(2)/(5)\right)\cdot (-10)`

`b = -11`

The equation of the line is:

`y = -(2)/(5)\cdot x - 11`