Find an equation of the line having the given slope 2/3 and containing the given point (7,-8)

To begin, we should use our given information to write the equation of a line in point-slope form, y = m(x-h) + k, where the variable m represents the slope and the point (h,k) is on the line. Substitution of these values is modeled below:

y = m(x-h) + k

y = 2/3(x - 7) - 8

Next, we should use the distributive property to multiply the 2/3 by the values inside the parentheses. We should also convert the constant -8 into thirds for simpler computation.

y = 2/3x - 14/3 - 24/3

Finally, we should perform the subtraction of the constants.

y = 2/3x - 38/3

Therefore, your answer is y = 2/3x - 38/3.

Hope this helps!