If perpendicular lines m and n intersect at (0,b) in the standard (x, y) coordinate plane, what is the value of b ? (1) the slope of the line m is \small -\frac{1}{2} (2) the point (-1,0) is on line n.

The value of b is 2.

Step-by-step explanation:

Let the equation of line m is,

And, line n is,

Where, and are the slope of lines m and n respectively.

Since, line m and n are perpendicular,

We have, ,

Thus, the equation of line n is,

Now, the point (-1,0) is on line n,

Hence, the equation of line n is,

Also, lines m and n intersect at (0,b),

⇒ (0,b) is in both lines m and n,

step-by-step explanation:

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