Finding the Equation for a Line: y=mx+b

Thread starter BeachofBrasil
Start date Oct 4, 2011
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To find the equation of a line in the form y=mx+b, the slope (m) and y-intercept (b) must be identified. The y-intercept (b) is the value of y when x equals 0, indicating where the line crosses the y-axis. In this discussion, the slope is determined to be m=5/6, and the y-intercept is b=5. Therefore, the equation of the line is y=(5/6)x+5. Understanding these components is crucial for graphing linear equations accurately.

Oct 4, 2011

BeachofBrasil

Find an equation y=mx+b for the line whose graph is sketched.
The number m =
The number b =

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Oct 4, 2011

HallsofIvy

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If y= mx+ b, then y(0)= m(0)+ b= b. That is, b is the y value where x= 0- where the line crosses the y-axis. what is that?

If y(0)= m(0)+ b= b, and y(1)= m(1)+ b= m+ b, then m= (m+b)- b= y(1)- y(0). What is that?

Oct 4, 2011

BeachofBrasil

m=5/6
b=5

Oct 5, 2011

Mark44

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BeachofBrasil said:

m=5/6
b=5

Yes.

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