Question

Write the equation of the line is fully simplified slope intercept form

Answer 1

y = - 2x + 1

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 ) = (- 5, 11) and (x₂, y₂ ) = (6, - 11) ← 2 points on the line

m =
`(-11-11)/(6-(-5))` =
`(-22)/(6+5)` =
`(-22)/(11)` = - 2

the line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - 2x + 1 ← equation of line