Question

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Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and (–12, –9). He writes the equation
7x – 10y = 3. Is this a good model? Explain your reasoning.

Answer 1

@ganeshie8 @zepdrix

Answer 2

Use slope formula to find slope
\[\frac{ -9-5 }{ -12-8 }=\frac{ -14 }{ -20 }=\frac{ 7 }{ 10 }\]
7/10 = m = slope
y= mx + b
y= (7/10)x + b
(8,5)
(5) = (7/10)(8) + b
b = -3/5
So....
\[y=\frac{ 7 }{ 10 }x-\frac{ 3 }{ 5 }\]
multiply by 10
\[10y = 7x -6\]
--> -7x + 10y = -6
--> 7x - 10y = 6

So, if 7x - 10y = 3 a good model?