Question

Which is the equation of the line passing through (0,4) and (8,0)?

Answer 1

`\sf y = -(1)/(2) x +4`

Find slope (m):

`\sf slope: (y_2 - y_1)/(x_2- x_1) \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points`

`\rightarrow \sf slope \ (m): (0-4)/(4-0) = -(1)/(2)`

Now, find equation:

`\sf y -y_1 = m(x - x_1) \ \ \ \ \textsc where \ (x_1, y_1 ) \ are \ points`

`\rightarrow \sf y - 4 = -(1)/(2) (x - 0)`

`\rightarrow \sf y = -(1)/(2) x +4`