Question

Write the equation of the line in fully simplified slope-intercept form

Answer 1

y = - x - 4

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, 1) and (x₂, y₂ ) = (3, - 7) ← 2 points on the line

m =
`(-7-1)/(3-(-5))` =
`(-8)/(3+5)` =
`(-8)/(8)` = - 1

the line crosses the y- axis at (0, - 4 ) ⇒ c = - 4

y = - x - 4 ← equation of line