Question

Which of the following is the equation of the line that is perpendicular to y = -4x - 5 and goes through the point -2,3

Answer 1

`the \: answr \: is \: c. \: y = (1)/(4)x * (7)/(2)`

Explanation:

Find the slope of the line that is perpendicular to y = -4x -5

`m = (1)/(4)`

`substitute \: and \: calculate`

`m = (1)/(4) \\ x = - 2 \: into \\ y = mx + b \\ y = 3`

`b = (7)/(2)`

`substitute \: m = (1)/(2) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = - 2 \\ into \: y \: = mx + b`

`y = (x)/(4) + (7)/(2)`