226k views
5 votes
What is the equation of the line perpendicular to y = = x+ 3 passing through the point (-3,4)?

User Thangaraja
by
8.2k points

1 Answer

5 votes

Answer:

y = 3x + b

Explanation:

The slope of y=mx+3 that passes through (-3,4) is found like this:

1. Substitute the y and x values in (4 = m*(-3) + 3).

2. Simplify by subtracting 3 from each side (1 = m*(-3)).

3. Simplify by dividing each side by -3 (-1/3 = m).

Since the slope of perpendicular lines are negative reciprocals, the slope of the perpendicular line is 3. The y-intercept can be anything and it will still be perpendicular.

User Thariq Nugrohotomo
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.