What line is perpendicular to the line y=2/3x+3?
There is an infinite number of these,
as long as they look like
y = (-3/2)x + b , where b is any constant, it would be perpendicular to your given line
notice I made my new slope the negative reciprocal of the given one.
e.g. y = (-3/2)x + 56 would do
Thank you for your help
To determine which line is perpendicular to the given line, we can recall that two lines are perpendicular when the product of their slopes is equal to -1.
The given line has a slope of 2/3. By taking the negative reciprocal of this slope, we can find the slope of the line perpendicular to it.
The negative reciprocal of 2/3 is -3/2. Therefore, any line with a slope of -3/2 will be perpendicular to the given line y = 2/3x + 3.
So, the line perpendicular to y = 2/3x + 3 would have the equation y = -3/2x + b, where b is the y-intercept of the new line.