Slope intercept form is y=mx + b. In this equation, m is the slope and b is the y-intercept. Suggest slope type is y-y1= m(x-x1). In this equation, m is again the slope and also x1,y1 is whereby you plug in points indigenous the line.
To solve this problem, plug in the given suggest to both creates of the equation to solve for the unknowns:
2 = (2/3)*(6)+b
2 = 4+b
so slope intercept kind is y = (2/3)x -2
To uncover the allude slope form, simply plug in m and also the allude given.
y-2 = (2/3)*(x-6)
Just a note, you can see the these two equations will provide the exact same value if you solve the allude slope form for y.
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