Question

Part 1 of 2 se the given conditions to write an equation for the Passing through (-3,-2) and (3,12)

Answer 1

y =
`(7)/(3)` x + 5

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 ) = (- 3, - 2 ) and (x₂, y₂ ) = (3, 12 )

m =
`(12-(-2))/(3-(-3))` =
`(12+2)/(3+3)` =
`(14)/(6)` =
`(7)/(3)` , then

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

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

using (3, 12 )

12 =
`(7)/(3)` (3) + c = 7 + c ( subtract 7 from both sides )

5 = c

y =
`(7)/(3)` x + 5 ← equation of line