Write the function y-3=2/3(x-4) in the equivalent form most appropriate for identifying the slope and - intercept of the function.

Slope = 2/3

intercept= 1/3

Step-by-step explanation:

The standard form of equation of a line in slope intercept form is expressed as;

y = mx+b

m is the slope

b is the y-intercept

Given the expression

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

Cross multiply

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

Expand

3y - 9 = 2x - 8

3y - 2x = -8 + 9

3y - 2x = 1

3y = 2x+1

Divide through by 4

y = 2/3 x  + 1/3

Comparing

mx = 2/3 x

m = 2/3

b = 1/3

Hence the slope of the function is 2/3 and the intercept is 1/3

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