How do you graph a line perpendicular to a given line?
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +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 = 1/2x + b and solving for b, we get b = 6.
How do you make lines perpendicular?
Step 1: Find the slope of the line. To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = –10 is m = 4/5. Therefore, the slope of the line perpendicular to this line would have to be m = –5/4.
How do you tell if a line is perpendicular on a graph?
Explanation: Two lines are perpendicular if and only if their slopes are negative reciprocals. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line.
What does it mean if a line is perpendicular to another line?
A line is said to be perpendicular to another line if the two lines intersect at a right angle. means line segment AB is perpendicular to line segment CD.
What is the slope of a line that is perpendicular to the line y 2x 1?
Using the slope-intercept form, the slope is 2 2 . The equation of a perpendicular line to y=2x−1 y = 2 x – 1 must have a slope that is the negative reciprocal of the original slope.
How are surfaces of the form cylindrical coordinates?
Therefore, in cylindrical coordinates, surfaces of the form are planes parallel to the xy -plane. Now, let’s think about surfaces of the form The points on these surfaces are at a fixed distance from the z -axis. In other words, these surfaces are vertical circular cylinders.
How is a point represented in a spherical coordinate system?
In the spherical coordinate system, a point in space is represented by the ordered triple where is the distance between and the origin is the same angle used to describe the location in cylindrical coordinates, and is the angle formed by the positive z-axis and line segment where is the origin and
How are rectangular coordinates related to the yz plane?
In rectangular coordinates, (a) surfaces of the form are planes parallel to the yz -plane, (b) surfaces of the form are planes parallel to the xz -plane, and (c) surfaces of the form are planes parallel to the xy -plane.
What happens to the z-coordinate in cylindrical coordinates?
When we convert to cylindrical coordinates, the z -coordinate does not change. Therefore, in cylindrical coordinates, surfaces of the form are planes parallel to the xy -plane. Now, let’s think about surfaces of the form The points on these surfaces are at a fixed distance from the z -axis.