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.