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

Answer:

$the \: answr \: is \: c. \: y = \frac{1}{4}x \times \frac{7}{2}$

Step-by-step explanation:

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

$m = \frac{1}{4}$

$substitute \: and \: calculate$

$m = \frac{1}{4} \\ x = - 2 \: into \\ y = mx + b \\ y = 3$

$b = \frac{7}{2}$

$substitute \: m = \frac{1}{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = - 2 \\ into \: y \: = mx + b$

$y = \frac{x}{4} + \frac{7}{2}$