Question

What is the slope-intercept form of the function described by this table

Answer 1

Answer:

y = - 3x + 4

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, 1) and (x₂, y₂ ) = (3, - 5) ← 2 ordered pairs from table

m = $\frac{-5-1}{3-1}$ = $\frac{-6}{2}$ = - 3, thus

y = - 3x + c ← is the partial equation

To find c use any ordered pair from the table

Using (3, - 5 ), then

- 5 = - 9 + c ⇒ c = - 5 + 9 = 4

y = - 3x + 4 ← equation of line