Respuesta :
Answer:
[tex]y = \frac{1}{2}x - \frac{3}{2}[/tex]
Step-by-step explanation:
The equation of the line WX is, 2x + y = - 5
⇒ y = - 2x - 5 .......... (1)
This equation is in slope-intercept form and the slope is - 2 and the y-intercept is - 5.
Now, if a line perpendicular to equation (1) having slope m then, m × (- 2) = - 1
⇒ [tex]m = \frac{1}{2}[/tex]
{Since the product of slopes of two mutually perpendicular straight line is - 1}
Therefore, the equation of the perpendicular line is
[tex]y = \frac{1}{2}x + c[/tex], where c is a constant and we have to find it.
This above line passes through the point (-1,-2) and hence
[tex]- 2 = \frac{1}{2}(- 1) + c[/tex]
⇒ [tex]c = - \frac{3}{2}[/tex]
Therefore, the equation of the line will be [tex]y = \frac{1}{2}x - \frac{3}{2}[/tex] (Answer)
