Find the equation of the line that passes through the point (4, 5) and is perpendicular to the line y = 1/3x + 2.
Practice Questions
1 question
Q1
Find the equation of the line that passes through the point (4, 5) and is perpendicular to the line y = 1/3x + 2.
y = -3x + 17
y = 3x - 7
y = -3x + 5
y = 1/3x + 5
The slope of the given line is 1/3, so the slope of the perpendicular line is -3. Using point-slope form, we get y - 5 = -3(x - 4), which simplifies to y = -3x + 17.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the equation of the line that passes through the point (4, 5) and is perpendicular to the line y = 1/3x + 2.
Solution: The slope of the given line is 1/3, so the slope of the perpendicular line is -3. Using point-slope form, we get y - 5 = -3(x - 4), which simplifies to y = -3x + 17.
