Which graph best represents a line with a slope of 2/3 that passes through (7, - 3)

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.