Question

Write the equation of the line that goes through the points (7,3) and (-14,9).
PLEASE HELP

Answer 1

First find slope (m):

`\sf \bold{slope-formula: {(y2-y1)/(x2-x1) }}`

`\rightarrow \sf (9-3)/(-14-7)`

`\rightarrow \sf (6)/(-21)`

`\rightarrow \sf -(2)/(7)`

equation:

y - y₁ = m ( x - x₁ )

`\rightarrow \sf y - 3 = -(2)/(7) ( x - 7)`

`\rightarrow \sf y = -(2)/(7) x +2 +3`

`\rightarrow \sf y = -(2)/(7) x +5`