Question

Write the equation of the line passing through the points (-1, 2) and (3.4)

Answer 1

`\boxed{y = 0,5x + 2,5}`

Explanation:

Equation of a straight line: y = kx + b

Points: (-1,2) and (3,4)

Сompose the system of equations:

`\displaystyle \left \{ {{2=-k + b} \atop {4=3k + b}} \right`
`\displaystyle \left \{ {{b= k + 2} \atop {b=4 - 3k}} \right \Longrightarrow 2 + k = 4 - 3k`

`2 + k = 4 - 3k`

`4k = 2|:4`

`k = 0,5`

`b = k + 2 = 0,5 + 2 = 2,5`

`y = 0,5x + 2,5`