Question

Help me please and explain this to me

Answer 1

C

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 gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (3,-5) ← 2 points from the table

m =
`(-5+1)/(3-1)` =
`(-4)/(2)` = - 2

note that (0, 1) is the y-intercept ⇒ c = 1

y = - 2x + 1 ← linear relationship → C