Question

From Apex Algebra 2!! HELP!!! I’ll rate you the brainliest :) (Part 1 and 2)

Answer 1

slope (m ) = $\frac{5}{2}$ , y - 1 = $\frac{5}{2}$ ( x - 2)

The equation of a line in ' point- slope form 'is

y - b = m (x - a)( m is the slope and (a , b ) a point on the line )

To calculate m use the ' gradient formula'

m = (y₂ - y₁ )/(x₂ - x₁ )

let (x₁, y₁ ) = (2 , 1) and (x₂, y₂ ) = (14 , 31) ← values chosen from table

m = (31 - 1 )/(14 - 2 ) =$\frac{30}{12}$ = $\frac{5}{2}$

equation in point- slope form using m = $\frac{5}{2}$ and (a,b )= (2 , 1)

y - 1 = $\frac{5}{2}$ ( x - 2)