Question

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

y =
`(11)/(6)` x + 5

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (6, 16 ) and (x₂, y₂ ) = (0, 5 )

m =
`(5-16)/(0-6)` =
`(-11)/(-6)` =
`(11)/(6)`

the y-intercept = (0, 5 ) ⇒ c = 5

y =
`(11)/(6)` x + 5 ← in slope-intercept form