If a line passes through the point (4,-3) and has a slope of 2/3 the point slope equation is

y + 3 = 2/3(x - 4)

Step-by-step explanation:

Point slope form equation

y - y1 = m( x - x1)

( x1 , y1) - any point on the line

m - slope of the line

Given

Slope - 2/3

Point - ( 4 , -3)

x1 = 4

y1 = -3

Substitute the values into the equation

y - y1 = m( x - x1)

y - (-3) = 2/3( x - 4)

y + 3 = 2/3(x - 4)

The equation of the line in point slope form is

y + 3 = 2/3(x - 4)

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step-by-step explanation:

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