Find the slope of 2x+8y=9

Josie Kennedy

Josie Kennedy

Answered question

2022-11-03

Find the slope of 2x+8y=9

Answer & Explanation

zastenjkcy

zastenjkcy

Beginner2022-11-04Added 14 answers

In the general form of a line y=mx+b, m represents the slope of the line and b the y-intercept. Here, we have the line 2 x + 8 y = 9 ...we want it in the form y=mx+b so we can get our m (the slope) directly.

To do this, we simply solve 2 x + 8 y = 9 for y with some algebra:

2 x + 8 y = 9
-Take 2x to the left hand side of the equation by subtracting it from both sides
8 y = 9 - 2 x = - 2 x + 9
-Divide by 8 on both sides of the equation to get y alone
y = - 2 8 x + 9 8 = - 1 4 x + 9 8

And there we have the line y = - 1 4 x + 9 8 , with m = s l o p e = - 1 4

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