What is an equation of the line, in point-slope form, that passes through the given point and has the given slope? point: (5,6); slope: 2/3

equation of line:

y = mx + b(1)

slope = m = 2/3

y-intercept = b = ?

putting the point (5,6) and slope(2/3) in equation(1)

6 = (2/3)(5) + b

6 = 10/3 + b

b = 6 - 10/3

b = (18 - 10)/3

b = 8/3

putting value of b and m in equation(1)

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

Step-by-step explanation: