Given point (-6, -3) and a slope of 4, write an equation in point-slope form. a. y - 3 = 4(x - 6) c. y + 3 = 4(x + 6) b. y + 3 = 4(x - 6) d. y - 3 = 4(x + 6) Please select the best answer from the choices provided A B C D

For this case we have that by definition, the point-slope equation of a line is given by:[tex]y-y_ {0} = m (x-x_ {0})[/tex]We have as data that:[tex](x_ {0}, y_ {0}): (- 6, -3)\\m = 4[/tex]Substituting in the equation we have:[tex]y - (- 3) = 4 (x - (- 6))\\y + 3 = 4 (x + 6)[/tex]Finally, the equation is: [tex]y + 3 = 4 (x + 6)[/tex]Answer:[tex]y + 3 = 4 (x + 6)[/tex]