# How do you write an equation of a line passing through (4, 2), perpendicular to #y=2x+3#?

##### 1 Answer

See the entire solution process below:

#### Explanation:

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:

Where

Therefore the slope of this line is

Let us call the slope of the perpendicular line

Therefore, for this problem, the slope of the perpendicular line is:

We can use the slope-intercept formula, substitute the values from the points for

Which means the equation is:

Or, we could use the point-slope formula to also write and equation for the line. The point-slope formula states:

Where

Substituting the slope we calculated and the values from the point in the problem gives: