How do you write an equation of a line passing through (4, -2), perpendicular to #y = 4x + 2#?
1 Answer
See a solution process below:
Explanation:
The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:
Where
The slope of this line is:
Let's call the slope of the line perpendicular to the line in the problem:
The formula for the slope of a perpendicular line is:
Substituting gives the slope of the line we are looking for as:
We can substitute this into the slope-intercept formula giving:
We can now substitute the values from the point in the problem for
Substituting this back into the formula gives: