Determine whether the equation defines y

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Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b. 8x = 5y + 9

Dec 1st, 2015

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To determine whether the equation is linear, we select 3 points on the line and calculate 2 slopes from the points if they are equal, then the equation is linear. We substitute values of x into the equation to obtain y values.

These points are; (0,-9/5), (1,-1/5), (2,7/5)

Slope

1. (-1/5-(-9/5))/(1-0) = (8/5)/1 = 8/5 =1.6

2. (7/5-(-1/5))/2-1 =( 8/5)/1 = 8/5 = 1.6

It is linear.

y = mx + b

8x = 5y + 9

5y =8x-9

dividing the equation by 5

y= 8/5x - 9/5

y= 1.6x -1.8

Please let me know if you need any clarification. I'm always happy to answer your questions.
Dec 1st, 2015

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