Question

Complete the equation of the line through ( − 10 , − 7 ) (−10,−7)left parenthesis, minus, 10, comma, minus, 7, right parenthesis and ( − 5 , − 9 ) (−5,−9)left parenthesis, minus, 5, comma, minus, 9, right parenthesis. Use exact numbers.

Answer 1

To find the equation of the line through the points (-10,-7) and (-5,-9), we can use the point-slope form of a linear equation.

Step-by-step explanation:

To find the equation of the line through the points (-10,-7) and (-5,-9), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1).

First, find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1). In this case, the slope is (-9 - (-7)) / (-5 - (-10)) = -2 / 5.

Then, choose one of the points (let's use (-10,-7)) and substitute its coordinates into the point-slope form: y - (-7) = (-2/5)(x - (-10)). Simplifying this equation gives the equation of the line as y + 7 = (-2/5)(x + 10).

Answer 2

Answer: the answer is y = - 2/5x - 11

Step-by-step explanation:

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