Question

Write a function rule for table
Is it a, b, c or d?

Answer 1

A

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, 4) and (x₂, y₂ ) = (2, 5 ) ← 2 ordered pairs from the table

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

The line crosses the y- axis at (0, 3 ) → c = 3

y = x + 3 ← equation of line → A