Question

Determine the equation of the line that passes through the

following pairs of points: (4,7) and (2,-5)

Answer 1

y = 6x - 17

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 ) = (4, 7 ) and (x₂, y₂ ) = (2, - 5 )

m =
`(-5-7)/(2-4)` =
`(-12)/(-2)` = 6 , then

y = 6x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, 7 )

7 = 24 + c ⇒ c = 7 - 24 = - 17

y = 6x - 17 ← equation of line