Hi

5x - 3y = -2

x + y = 2  |multiplying thru by 3 to  eliminate the y variable by adding the Eqs

8x = 4

x = 1/2  and y = 3/2. P(1/2,3/2)is point of intersection

***Using point-slope form,  P(1/2,3/2)

y - 3/2 = 5(x-1/2)

y = 5x - 1

0r

5x - y = 1 in Standard Form 

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