Question

Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (-2, -1). Use the box provided to submit all of your calculations and final answers.

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Please explain as thoroughly as you can! I'm reeeeeeeallly bad at math, any help is extremely appreciated! :D

Answer 1

y + 1 =
`(1)/(2)` (x + 2)

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) )`

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

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

with point on line (x₁, y₁ ) = (- 2, - 1 ), then

y - (- 1) =
`(1)/(2)` (x - (- 2) ), that is

y + 1 =
`(1)/(2)`(x + 2) ← equation of line