What is the equation of a line that is perpendicular to the line
y = 2x + 1 and passes through the
point (4, 6)?
А y=-2x+6
B y = 2x + 6
c y=-3x+8
D y = 2x + 8

Step-by-step explanation:

Given

Perpendicular to

Pass through

Required

Determine the line equation

First, we need to determine the slope of

An equation is of the form:

Where

In this case:

Next, we determine the slope of the second line.

Since both lines are perpendicular, the second line has a slope of:

Since this line passes through (4,6); The equation is calculated as thus:

Where

This gives:

Open bracket

Add 6 to both sides