What is the equation of a line perpendicular to x 4?
The line x=4 is a vertical line though the point x=4. A line perpendicular to it will be a horizontal line of the form y = a constant.
What is a line perpendicular to x 7?
Precalculus Examples Since x=7 is a vertical line, the slope is undefined. The perpendicular line is horizontal and the slope is 0 .
What is the equation of the line that is perpendicular to the given line and passes through the point 2 6 )?
m=0. Thus y=0x+4. Perpendicular lines have opposite reciprocal slopes and you would like it to pass through the point (2,6). Thus when you flip it, x=6.
What is perpendicular to X?
A line perpendicular to the x-axis would have the opposite. The y-axis, for example, has an equation of x = 0 because any point on the y-axis has a y-value of 0. Therefore, the equation of your vertical line passing through (4,1) is x = 4. Any other point on that line has an x-value of 4.
What equation is perpendicular to x 0?
x = 0 is a vertical line, A perpendicular line will simply have a y value. You are given the point (3,1), so your new line will simply be y = 1.
Which equation is perpendicular to x 5?
Horizontal and vertical lines are perpendicular to each other (hit at a 90 degree angle), so a line written x=5 will be perpendicular to any equation written y=#, such as y=5 or y=7. Hope that helps!
What is the line x 4?
Since x=4 is a vertical line, there is no y-intercept and the slope is undefined.
Is x =- 7 and X 7 perpendicular?
x=−7 is a straight line parallel to the y-axis cutting the x-axis at -7. So a line perpendicular to this line will be a horizontal line parallel to the x-axis and cutting the y-axis at any point c.
How do you find the equation of a perpendicular line?
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.
How to find the slope of a perpendicular line in slope intercept form?
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2 x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2 x + b and solving for b, we get b = 6.
What is the definition of a perpendicular line?
The definition of a perpendicular line is one that has a negative, reciprocal slope to another. For this particular problem, we must first manipulate our initial equation into a more easily recognizable and useful form: slope-intercept form or. According to our formula, our slope for the original line is.
How do you find the equation of a line with one point?
The first way is to solve for the equation of a line with one point and the equation of a line that runs perpendicular to it. The second way is to use two points from one line and one point from a perpendicular line. If a line runs perpendicular to another line, it means that it crosses it at a right angle.