Question

Find a line that is perpendicular to y = 2/5x-1 that goes through (3,6)

Answer 1

`\sf y=-(5)/(2)x+(27)/(2)`

Explanation:

given equation:

`\sf y = (2)/(5) x -1`

using the formula: y = mx + b

Here, we can determine 2/5 is the slope

if perpendicular: -1/m → -1/2/5 → -5/2

using the formula:

`\sf y - y1 = m ( x - x1)`

`\sf y - 6 = -(5)/(2) ( x - 3 )`

`\sf y - 6 = -(5)/(2) x - (15)/(2)`

`\sf y = -(5)/(2) x + (15)/(2) +6`

`\sf y=-(5)/(2)x+(27)/(2)`