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Hi, how do I graph linear functions on a graph using y = mx + b?

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Problem

Hi, how do I graph linear functions on a graph using y = mx + b? ​

Solution

For this case we can conclude that m is the slope and represent the units that y increase for each increment of 1 unit on the x axis.

And b represent the value of the function when x=0

Example:

y = -2/3 x +4

m =-2/3

b=4

We can find the x intercept like this:

0= -2/3 x + 4

2/3 x = 4

x= 3*4/2= 6

Two important points (0,6) and (0,4) for the plot

And the graph would be:

View image AvagailR356228
View image AvagailR356228
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