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Write an equation for the graph shown in the form y = ____________

 




 

 May 10, 2023
 #1
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The slope of the line is is (2 - 1.2)/(5 - 1) = 1/4.

 

Then by point slope form, the equation of the line is

y - 2 = 1/4(x - 5)

y - 2 = 1/4*x - 5/4

y = 1/4*x + 3/4

 May 10, 2023
 #3
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Better check your arithmetic at (2 - 1.2)/(5 - 1)    that isn't 1/4  

 

                                                       0.8 / 4 = 0.2  

Guest May 10, 2023
 #2
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I'm going to suggest using   y = mx + b.   

 

Finding the slope:  By observation, we can take a shortcut, by noting  

                               that the line goes vertically 2 for horizontally 10. 

 

                               That makes the slope 0.2.  

 

                                                                       (2 – 0)  

                               Or more formally    m = ––––———  

                                                                     (5 – (–5))  

 

                               And from the graph, the y-intercept is 1.  

 

                               Put them together and we've got    y = 0.2x + 1  

.

 May 10, 2023

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