Question

Can someone please help ​

Answer 1

y = - 0.6x + 109

Explanation:

The equation in linear form is

y = mx + c ← slope- intercept form

Calculate m using the slope formula

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

with (x₁, y₁ ) = (25, 94) and (x₂, y₂ ) = (55, 76) ← 2 ordered pairs from the table

m =
`(76-94)/(55-25)` =
`(-18)/(30)` = - 0.6

y = - 0.6x + c ← is the partial equation

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

Using (45, 82 ) , then

82 = - 27 + c ⇒ c = 82 + 27 = 109

y = - 0.6x + 109