Question

Write the equation of the line, in point-slope form. Identify (x^1, y^1) as the point (1, 2). Submit all of your calculations and final answer.

Answer 1

y - 2 = 2(x - 1)

Explanation:

the equation of a line in point- slope form is

y - y₁ = m(x - x₁ )

where m is the slope and (x₁, y₁ ) a point on the line

calculate m using the slope formula

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

let (x₁, y₁ ) = (- 1, - 2) and (x₂, y₂ ) = (1, 2) ← 2 points on the line

substitute these values into the formula for m

m =
`(2-(-2))/(1-(-1))` =
`(2+2)/(1+1)` =
`(4)/(2)` = 2

using m = 2 and (x₁, y₁ ) = (1, 2 ) , then

y - 2 = 2(x - 1) ← equation in point- slope form