Question

What is the equation of a line, in point-slope form, that passes through (−2, −6) and has a slope of 13 ?

Answer 1

the equation of line , in point- slope form

y - y1 = m (x - x1)

here
x1 = - 2
y1 = - 6
m = 13

y - (-6) = 13(x - (-2) )

y +6 = 13 (x + 2 )

y + 6 = 13 x + 26

y = 13x + 26 - 6

y = 13x + 20