Question

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)?

A.) y + 5 = x + 2
B.) y − 2 = x − 5
C.) y − 5 = −(x − 2)
D.) y + 2 = −(x + 5)

Answer 1

Answer:

C is the equation that is perpendicular and goes through the given point.

Step-by-step explanation:

In order to find this, we first need to find an equation with the appropriate slope. Perpendicular lines have opposite and reciprocal slopes. Since the slope of the original line is 1, we need a line with -1 slope. C and D are the only such answers that have this slope.

Next we look for it to fit into the following point slope equation.

y - y1 =m(x - x1)

We use the point (2, 5) as (x1, y1). So we can plug those in the spots that we see above as well as the slope at m.

y - y1 =m(x - x1)

y - 5 = -(x - 2)