The equation of a line is y = mx + b. The variable m is the slope, so m = 2/3, giving you the equation y = (2/3)x + b. To find b (the y-intercept), plug in the given x and y values. So, it'll look like this: (-3) = (2/3)(7) + b. Finally, solve algebraically for b:
Multiply 2/3 by 7.
-3 = 14/3 + b
Subtract 14/3 from both sides.
-23/3 = b
The final equation is y = (2/3)x - 23/3.