find an equation of the line passing through (-5,-9) and (3,15). express your answer in slope-intercept form

Answer 1

(-5,-9) (3,15) have a line through them with slope = "rise over" = change in y over change in x = (15+9)/(3+5) = 24/8 = 3

the equation is

y = 3x + b where b is found by plugging in either point

15 =3(3)+b

b = 15-9 = 6 = the y intercept

y = 3x +6 is the equation of the line through the points in slope intercept form