Question

Work out the equation of the line which has a gradient of -2 and passes through the point (1,7)

Answer 1

Answer:
`y = -2x + 9`

Explanation:

The formula for finding equation of line given slope and one point is given as :

`y - y_(1) = m ( x - x_(1) )`

`x_(1)` = 1

`y_(1)` = 7

`m = -2`

substituting the values into the equation , we have :

`y - 7 = -2 ( x - 1 )`

`y - 7 = -2x +2`

`y = -2x + 2 + 7`

`y = -2x + 9`