Sangeetha Pulapaka
1

Step 1: Recall the slope of a line

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Step 2 :  Recall the slope-intercept form of a linear equation

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Step 3 :  Recall the y-intercept of a line

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Step 4  Find the value of b by plugging in the given slope and the points (x,y)

in the slope-intercept form y = mx + b

Substituting m = \frac{-2}{3} , x = 3, y = 6 in the equation y = mx+b

we get

6 = \frac{-2}{3} \times 3 +b

b = 6 + 2 = 8

Step 5: Substitute the slope and the y-intercept 'b' to write the equation of the line

Substituting m = \frac{-2}{3} and b = 8 in y = mx+b

y = \frac{-2}{3}x +8