What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)
Mathematics · College · Thu Feb 04 2021
Answered on
Given the point:
(5, 3)
x1 = 5
y1 = 3
Write the equation of the line.
The equation of the line can be written in point-slope form.
Point-slope form:
y - y1 =m(x -x1)
Solution:
Before we can write in point-slope form, we must first find the slope of the line, we can find the slope by using the slope formula.
m = y1/x1
m = 3/5
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - 3 = 3/5 ( x - 5)
Final answer:
y - 3 = 3/5 ( x - 5)