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slope intercept form of equation of a line that passes through (-3,8) y=-2/3x+6 what is the point slope equation for this line???

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Answer:


\large\boxed{y-8=-(2)/(3)(x+3)}

Explanation:

The slope-intercept form of an equation of a line:


y=mx+b

m - slope

b - y-intercept

The point-slope form of an equation of a line:


y-y_1=m(x-x_1)

We have the equation of a line in the slope-intercept form


y=-(2)/(3)x+6\Rightarrow m=-(2)/(3)

and the point (-3, 8).

Substitute:


y-8=-(2)/(3)(x-(-3))\\\\y-8=-(2)/(3)(x+3)

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