How do you find the perpendicular line to the Y axis?

A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.

How do you know if a line is perpendicular?

Perpendicular lines intersect at right angles to one another. To figure out if two equations are perpendicular, take a look at their slopes. The slopes of perpendicular lines are opposite reciprocals of each other.

What is perpendicular to the axis?

The perpendicular axis theorem states that the moment of inertia of a planar lamina (i.e. 2-D body) about an axis perpendicular to the plane of the lamina is equal to the sum of the moments of inertia of the lamina about the two axes at right angles to each other, in its own plane intersecting each other at the point …

What is slope of a line perpendicular to y-axis?

The y-axis is a vertical line. A vertical line has a slope of 10 which is undef or undefined. So, the slope of the perpendicular would be 0 .

How do you find the slope of a perpendicular line through a point?

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 y-intercept of a line?

Solving with One Point and an Equation Download Article 1 Simplify the equation of the line. 2 Calculate the opposite reciprocal of the slope. When a line is perpendicular to another line, the slope will be the… 3 Plug the point into the slope equation to find the y-intercept. Now that you have the slope of the perpendicular… More

How to find the equation of a perpendicular line with two points?

Before you calculate the equation of the perpendicular line, you will need to find the slope of the line that crosses the two points. The equation for finding the slope of a line with two points is m = y 2 − y 1 x 2 − x 1 {\\displaystyle m={\\frac {{y^{2}}-{y^{1}}}{{x^{2}}-{x^{1}}}}} .

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.

How to find the equation of plane in intercept form?

Also read: Equation of plane in intercept form. Intercept Formula. The equation of the line, which intersects the y-axis at a point is given by: y = mx + c Now, we have to write the intercept form of the line, we can replace c with b. Thus, the equation becomes: y = mx + b