Question

Write an equation for the line that gose through the points (-2,6) and (2, 12)

Answer 1

y =
`(3)/(2)` x + 9

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )

m =
`(12-6)/(2-(-2))` =
`(6)/(2+2)` =
`(6)/(4)` =
`(3)/(2)` , then

y =
`(3)/(2)` x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (2, 12 ) , then

12 = 3 + c ⇒ c = 12 - 3 = 9

y =
`(3)/(2)` x + 9 ← equation of line