Question

What is the equation for the line in slope intercept form

Answer 1

Explanation:

Answer 2

y = - 4x + 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 ) = (- 2, 13) and (x₂, y₂ ) = (0, 5) ← 2 points on the line

m =
`(5-13)/(0-(-2))` =
`(-8)/(0+2)` =
`(-8)/(2)` = - 4

the line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = - 4x + 5 ← equation of line