Question

I need help with this one.

Answer 1

y = 3x + 5

Explanation:

The equation in slope- intercept form is

y = mx + c

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (2, 11) ← 2 ordered pairs from the table

m =
`(11+1)/(2+2)` =
`(12)/(4)` = 3, thus

y = 3x + c ← is the partial equation

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

Using (2, 11 ), then

11 = 6 + c ⇒ c = 11 - 6 = 5

y = 3x + 5 ← equation of linear function