Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. release your mouse button when the item is place. if you change your mind, drag the item to the trashcan. click the trashcan to clear all your answers. indicate in standard form the equation of the line passing through the given points. e(-2, 2), f(5, 1)

x + 7y = 12

Explanation:

The question is: "Indicate in standard form the equation of the line passing through the given points. E(-2, 2), F(5, 1)"


1) The standard form of the equation of the line passing through two points is:

Ax + By = C

2) You can find the equation of al line given two points in a two stages process:

i) Find the slope:

slope = m = [y₂ - y₁] / [ x₂ - x₁] = [1 - 2] / [5 - (-2) ] = - 1 / 7

ii) set the point slope equation:

y - y₁ = m [x - x₁]

y - 1 = (-1/7) (x - 5) ⇒ 7 ( y - 1) = - (x - 5)

⇒ 7y - 7 = - x + 5 ⇒ x + 7y = 5 + 7

⇒ x + 7y = 12