A line parallel to the y-axis is called a vertical line. The linear function changes the sign at the root or zero point. Thus, if. m > 0, then.

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.

which is the Y axis? A **coordinate** grid has two perpendicular lines, or **axes**, labeled like number lines. The horizontal **axis** is called the **x**–**axis**. The **vertical axis** is called the **y**–**axis**. The point where the **x**–**axis** and **y**–**axis** intersect is called the origin. The **x**–**coordinate** is 2.

Hereof, which equation represents a line which is perpendicular to the Y axis?

A line that is perpendicular to the x-axis is a vertical like with a **slope** equal to infinity. A line parallel to it would have the same **slope** and will also be a vertical line perpendicular to the x-axis. As the line passes through the point (2, -1) its equation is x = 2.

What is perpendicular line?

In elementary geometry, the property of being **perpendicular** (perpendicularity) is the relationship between two **lines** which meet at a right angle (90 degrees). A **line** is said to be **perpendicular** to another **line** if the two **lines** intersect at a right angle.

### What is the slope of Y axis?

The y -axis is a vertical. A line that is parallel to the y -axis also has to be vertical. The slope of a line parallel to the y -axis has a slope that is undefined.

### What is the slope of the Y axis explain?

In the equation of a straight line (when the equation is written as “y = mx + b”), the slope is the number “m” that is multiplied on the x, and “b” is the y-intercept (that is, the point where the line crosses the vertical y-axis).

### Why slope of Y axis is undefined?

The slope of y axis is not infinity. Its undefined. To be precise, as slope of line approaches the vertical it increases (positively or negatively depending on the angle) without bound. The x-axis is horizontal and the y-axis is vertical so they are perpendicular.

### What is the slope of a vertical line?

The “slope” of a vertical line. A vertical line has undefined slope because all points on the line have the same x-coordinate. As a result the formula used for slope has a denominator of 0, which makes the slope undefined..

### What is the slope of a line parallel to a vertical line?

This one is a little trickier. Vertical lines and horizontal lines are perpendicular to each other. The slope of the perpendicular line in this case would be the slope of a vertical line which would be undefined. The slope of the parallel line is 0 and the slope of the perpendicular line is undefined.

### How do you find a slope?

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

### How do you know if a line is perpendicular?

If the slopes of two lines can be calculated, an easy way to determine whether they are perpendicular is to multiply their slopes. If the product of the slopes is , then the lines are perpendicular. In this case, the slope of the line is and the slope of the line is .

### Are these lines perpendicular?

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. Therefore, any line perpendicular to must have a slope of .

### How do you solve perpendicular lines?

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.

### Is Y axis up or down?

The x-axis and y-axis are two lines that create the coordinate plane. The x-axis is a horizontal line and the y-axis is a vertical line. Reminder: the x-axis really runs left and right, and the y-axis runs up and down.

### What is the equation for y axis?

The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it. Let P (x, y) be any point on the y-axis. Then clearly, for all position of P we shall the same abscissa 0 or, x = 0. Therefore, the equation of y-axis is x = 0.