If line g passes through point (2, 2) and is perpendicular to the line h, then what is the equation of line g?

Do you have an equation for line h?

If you do, post it here. It is needed to find the equation of line g.

If the line h passes through the two points (1, 2) and (3, 6)

To find the equation of line g, we need some information about line h. Specifically, we need the slope of line h.

Since line g is perpendicular to line h, they will have negative reciprocal slopes. Let's say the slope of line h is equal to m. Then the slope of line g will be -1/m.

We know that line g passes through the point (2, 2). We can use this information to find the equation of line g using the point-slope form of a line equation: y - y₁ = m(x - x₁).

Substituting the values (x₁, y₁) = (2, 2) and the slope -1/m into the point-slope form, we get:

y - 2 = (-1/m)(x - 2)

This is the equation of line g. Keep in mind that this equation is not simplified and can be rearranged further if desired.