Find the equation of the line that passes through (2, 3) and is perpendicular to the line y = 4x - 1.
Practice Questions
1 question
Q1
Find the equation of the line that passes through (2, 3) and is perpendicular to the line y = 4x - 1.
y = -1/4x + 4
y = 4x - 5
y = -4x + 11
y = 1/4x + 2
The slope of the given line is 4, so the perpendicular slope is -1/4. Using point-slope form, we get y - 3 = -1/4(x - 2) which simplifies to y = -1/4x + 11/4.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the equation of the line that passes through (2, 3) and is perpendicular to the line y = 4x - 1.
Solution: The slope of the given line is 4, so the perpendicular slope is -1/4. Using point-slope form, we get y - 3 = -1/4(x - 2) which simplifies to y = -1/4x + 11/4.
