Question 565486
Plug your information into point-slope form, where x1 is your value for x (2) and y1 is your value for y (-9).
y - y1 = m(x - x1)
Put in your values for m, x1, and y1: {{{y - (-9) = (8/9)(x - 2)}}}
Change -(-9) to +9 and distribute the {{{8/9}}}: {{{y + 9 = 8x/9 - 16/9}}}
Clear fractions by multiplying everything by 9: 9y + 81 = 8x - 16
Subtract 81 from both sides of the equation: 9y = 8x - 97
Now which format do you need your answer to be in--standard (ax + by = c) or slope-intercept (y = mx + b)?
==> Standard:
Subtract 8x from both sides of the equation: -8x + 9y = -97
Multiply everything by -1 (so that the coefficient before a is positive): 8x - 9y = 97 <--YOUR ANSWER
==> Slope-intercept:
Divide everything by 9 (so that y has no coefficient): {{{y = (8/9)x - 97/9}}} <--YOUR ANSWER
Good luck! =)