# Question: What Is The Equation Of The Horizontal Line Through (- 4 6 )?

## What is the slope of the line y =- 4?

the equation describes a horizontal line with a y-intercept of -4.

as the line is horizontal, the slope is 0.

The slope is 0 and the y-intercept is -4..

## How do you find parallel lines?

Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this 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 = 12 is m = 4/5.

## What is the equation for a line?

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

## How do you tell if a slope is vertical or horizontal?

Note that when a line has a positive slope it rises up left to right. Note that when a line has a negative slope it falls left to right. Note that when a line is horizontal the slope is 0. Note that when the line is vertical the slope is undefined.

## What is the equation of a horizontal line passing through the point 2 10?

Answer and Explanation: The equation of the horizontal line that passes through the point (2,10) is y = 10.

## What is slope of a straight line?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. … Slope is calculated by finding the ratio of the “vertical change” to the “horizontal change” between (any) two distinct points on a line.

## Is a horizontal line a function?

A horizontal line is a function, but a pretty boring one since no matter what x value you input, the output will always be the same. EG f(x)=5. No matter what x is, the output is always 5. As you can see, the output value does not depend on the input value x.

## What is the equation for a straight vertical line?

The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept . (link) For instance in the graph below, the vertical line has the equation x = 2 As you can see in the picture below, the line goes straight up and down at x = 2.

## What is the equation of the horizontal line through 6?

The equation of a horizontal line going through -6 on the y-axis is Y= -6.

## What is the equation of the horizontal line through 1 9?

Answer: y-9 = 0 ( or ) y= 9 is the correct equation. where m = slope of the line passing through . thus you got the answer.

## What is the slope of any horizontal line?

The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

## What is the equation of the horizontal line through 2 3?

Explanation: Any horizontal line parallel to the x-axis has a zero slope. The horizontal line passing through (-2 ,3) has equation y = 3 as it passes through all points in the plane with a y-coordinate of 3, as may be seen in the graph.

## What is meant by horizontal line?

Anything parallel to the horizon is called horizontal. As vertical is the opposite of horizontal, anything that makes a 90-degree angle (right angle) with the horizontal or the horizon is called vertical. So, the horizontal line is one that runs across from left to right.

## What is the Y intercept of y =- 2x 6?

y-intercept: Put x = 0 in the equation y = 2x – 6 and solve for x. The y-intercept is -6.

## How do you write the slope intercept form of a vertical line?

In general, Slope Intercept form is y = mx + b. However, a vertical line has an undefined slope . They also do not have a y-intercept, because they run parallel to the y axis. Therefore, the general formula for a vertical line is x = x1.

## How do you write an equation for a horizontal line through a point?

Horizontal Lines Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept. Example 1: Write an equation for the following line: Graph of a Line Since y always takes the value -1, an equation for the line is y = – 1.

## What is the equation of the horizontal line through 5 7?

Explanation: The point (a,b) is (5,7) . Therefore, the equation of the line is y=7 .

## How do I find the slope of the line?

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 .

## What is the equation of the horizontal line?

Equation of Horizontal Line always takes the form of y = k where k is the y-intercept of the line. For instance in the graph below, the horizontal line has the equation y = 1 As you can see in the picture below, the line goes perfectly sideways at y =1.

## What is the equation of a horizontal line passing through the point (- 3/8 )?

What is the equation of a horizontal line passing through the point (−3, 8)? x = −3.

## What is the horizontal line test used for?

In mathematics, the horizontal line test is a test used to determine whether a function is injective (i.e., one-to-one).

## What is the Y intercept of y =- 4?

Using the slope-intercept form, the y-intercept is 4 .

## What is the equation of the horizontal line through (- 4 6?

In a horizontal line the y value remains the same. In the point ( -4. -6 ) the y value is -6. the point notation is always written as ( x, y).

## How do you write an equation for a vertical and horizontal line?

Horizontal lines go left and right and are in the form of y = b, where b represents the y-intercept, while vertical lines go up and down and are in the form of x = a where a represents the shared x-coordinate of all points. All you need to do is remember these.

## What is Y 4 on a graph?

The graph of y = b is a horizontal line passing through the point (0, b) on the y-axis. To graph an equation of this form, such as y = 4, plot the point (0, b) on the y-axis and draw a horizontal line through it (see Example 4). If the equation is not in the form y = b, solve the equation for y. Vertical Lines: x = a.