Question

What is equation of the line graphed below. Y= - 5/2 x-2 -this question was accidentally cut out

Answer 1

What is equation of the line graphed below. Y= - 5/2 x-2 -this question was accidentally cut out

Answer: y= -2x+5-1/2

Answer 2

y = -
`(5)/(2)` x - 2

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, 3) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m =
`(-2-3)/(0-(-2))` =
`(-5)/(0+2)` = -
`(5)/(2)`

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = -
`(5)/(2)` x - 2 ← equation of line