Write the equation of the line is perpendicular to the line y=-1/5x+9 and passes through the point -2 ,-2

Step-by-step explanation:

Given line is

so, the slope of the given line is .

now, let the line which is perpendicular to the given line be y = mx + c

where,

m = slope of the line

c = constant

As we know, if two lines are perpendicular to each other, the value of product of there slopes are -1.

so, slope of given line × slope of perpendicular line = -1

⇒

⇒

By substitutiong the value of m in the equation, we get;

⇒

For c,

as the point (-2,-2) passes through the line, we get;

⇒

⇒

Hence,

The line which is perpendicular to the given line and passes through (-2,-2) is

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