Question

Write an equation of the line in point-slope form that is perpendicular to the given line

and passes through the given point.
y = −3x + 4; (−1, 3)

Answer 1

`y-3=(1)/(3)(x+1)`

Explanation:

The slope of a perpendicular line is the negative reciprocal of the original slope. Here, it's -3 and 1/3. Another example would be 2 and -1/2.

Next, point slope form is:

`(y-y_1)=m(x-x_1)`

where m is the slope and (x1, y1) is any point on the line.

We're given that point, and we've found the slope above, so the equation is:

`y-3=(1)/(3)(x+1)`