Please help me !! I’m not really good at math. It says find the equation of the linear function represented by the table below in slope intercept form.

Question

asked Feb 1, 2021 73.2k views

2 Answers

Ithil · Answer 1 · 2021-02-03T21:31:45+0000

Answer:

y = - 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 ) = (1, 1) and (x₂, y₂ ) = (2, 0) ← 2 ordered pairs from the table

m =
(0-1)/(2-1) =
(-1)/(1) = - 1 , then

y = - x + c ← is the partial equation

To find c use any ordered pair from the table and substitute into the partial equation.

Using (3, - 1 ), then

- 1 = - 3 + c ⇒ c = - 1 + 3 = 2

y = - x + 2 ← equation of line