What is the equation of the line that is perpendicular to the line and intersects the Y axis at?

What is the equation of the line that is perpendicular to the line and intersects the Y axis at?

Explanation: 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.

Is X Y perpendicular to x-axis?

They are considered as perpendicular, since the xy plane must represent a two dimensional surface. Similarly in a n-dimensional space, each axis is perpendicular to each other, though it is difficult to visualize dimensions more than 3D.

What is the perpendicular slope?

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m.

What is the slope of the line that is perpendicular to the line whose equation is 2x y 4?

1/2
Answer: The slope of the line that is perpendicular to the line 2x + y = 4 is 1/2.

What is perpendicular example?

Perpendicular – Definition with Examples Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Example: Here, AB is perpendicular to XY because AB and XY intersect each other at 90°.

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 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 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 do you find the equation with a slope of 2?

Since line p is perpendicular to line m, this means that the products of the slopes of p and m must be – 1: So we must choose the equation that has a slope of 2. If we rewrite the equations in point-slope form (y = mx + b), we see that the equation 2x – y = 3 could be written as y = 2x – 3.