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

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Homework Help Overview

The discussion revolves around finding the equation of a line in the form y=mx+b, specifically identifying the values of m (slope) and b (y-intercept) based on a provided graph.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between the slope and y-intercept, questioning how to determine these values from the graph. There is an attempt to clarify the meaning of b as the y-value when x=0 and how to derive m from given points on the line.

Discussion Status

Some participants have proposed specific values for m and b, while others engage in clarifying the definitions and relationships involved in the equation of the line. There appears to be a mix of interpretations regarding the values presented.

Contextual Notes

The original poster has not provided a specific graph, which may limit the discussion on determining the values of m and b accurately. Participants are working within the constraints of the problem as presented.

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

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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?
 
m=5/6
b=5
 
BeachofBrasil said:
m=5/6
b=5
Yes.
 

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