Question

What is a point-slope equation of the line with slope-12 that goes through the point (5,3)?

Answer 1

y - 3 = - 12(x - 5)

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) = (5, 3), hence

y - 3 = - 12(x - 5) ← in point- slope form

Answer 2

y-3=-12(x-5)

Explanation:

y-
`y_(1)`=m(x-
`x_(1)`) where m is slope and (
`x_(1) ,y_(1)`) represents coordinates of a point on the line.

From equation statement, we observe that

m=-12 ,
`x_(1)`=5 ,
`y_(1)`=3

put above values in point-slope equation,

y-3=-12(x-5) is the point-slope equation.