Question

Please help me !! i dont undeerstand:(

Answer 1

Answer:

y = - 4x + 2

Step-by-step 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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ )= (1, - 2) and (x₂, y₂ ) = (2, - 6) ← 2 ordered pairs from the table

m = $\frac{-6+2}{2-1}$ = $\frac{-4}{1}$ = - 4, thus

y = - 4x + c ← is the partial equation

To find c use any ordered pair from the table

Using (1, - 2), then

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = - 4x + 2 ← equation in slope- intercept form