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How can an absolute value equation help you calculate the distance from one point to another on the coordinate plane when the points are on the same vertical line?
The distance between them is the absolute value of the difference in their vertical coordinates.
Why is the equation of a horizontal line y equals c where c is the constant?
In the Cartesian plane, a horizontal line is a constant distance away from the horizontal or x axis. If this fixed distance is c, then every point on the line is a distance c away from the x-axis. Distance from the x-axis is measured by the y coordinate so, for every point on the line, y = c.
What points' vertical distance from the origin is twice their horizontal distance?
The points where the vertical distance from the origin is twice the horizontal distance can be represented by the equation ( y = 2x ) and ( y = -2x ). This means for any point ((x, y)) on these lines, the absolute value of (y) is twice the absolute value of (x). Therefore, points such as ((1, 2)), ((2, 4)), ((-1, -2)), and ((-2, -4)) satisfy this condition.
Graph the equation y equals 8?
The graph of the equation y=8 is a horizontal line through the y-intercept of 8. This is because since y=8, any point on the graph will have a y-coordinate of 8. This is why it is a horizontal line through (0,8).
What is the horizontal line in an x y coordinate system?
In an x-y coordinate system, a horizontal line is represented by a constant y-value across all x-values. This means that no matter how far you move left or right along the x-axis, the y-coordinate remains the same. Mathematically, a horizontal line can be expressed as the equation ( y = c ), where ( c ) is a constant. Such lines are parallel to the x-axis.
How can an absolute value equation help you calculate the distance form one point to another on the coordinate plane when the points are on the same vertical line?
The absolute difference in the vertical direction is zero but the absolute difference in the horizontal direction will be the horizontal distance - which is the distance between the points.
How can an absolute value equation help you calculate the distance from one point to another on the coordinate plane when the points are on the same vertical line?
The distance between them is the absolute value of the difference in their vertical coordinates.
Why is the equation of a horizontal line y equals c where c is the constant?
In the Cartesian plane, a horizontal line is a constant distance away from the horizontal or x axis. If this fixed distance is c, then every point on the line is a distance c away from the x-axis. Distance from the x-axis is measured by the y coordinate so, for every point on the line, y = c.
What points' vertical distance from the origin is twice their horizontal distance?
The points where the vertical distance from the origin is twice the horizontal distance can be represented by the equation ( y = 2x ) and ( y = -2x ). This means for any point ((x, y)) on these lines, the absolute value of (y) is twice the absolute value of (x). Therefore, points such as ((1, 2)), ((2, 4)), ((-1, -2)), and ((-2, -4)) satisfy this condition.
Find the equation of the horizontal line through the point (8,−10)?
The equation of a horizontal line is of the form y=k, where k is the y-coordinate of the point through which the line passes. Therefore, the equation of the horizontal line through the point (8, -10) is y = -10.
What is the horizontal distance traveled by a projectile?
The horizontal distance traveled by a projectile is determined by the initial velocity of the projectile, the angle at which it was launched, and the time of flight. It can be calculated using the equation: horizontal distance = (initial velocity * time * cosine of launch angle).
Graph the equation y equals 8?
The graph of the equation y=8 is a horizontal line through the y-intercept of 8. This is because since y=8, any point on the graph will have a y-coordinate of 8. This is why it is a horizontal line through (0,8).
What is the horizontal line in an x y coordinate system?
In an x-y coordinate system, a horizontal line is represented by a constant y-value across all x-values. This means that no matter how far you move left or right along the x-axis, the y-coordinate remains the same. Mathematically, a horizontal line can be expressed as the equation ( y = c ), where ( c ) is a constant. Such lines are parallel to the x-axis.
What are Examples of equations for verticle and horizontal lines?
The equation of a vertical line can be expressed as ( x = a ), where ( a ) is the x-coordinate of any point on the line. For example, the vertical line passing through the point (3, 5) is represented by ( x = 3 ). In contrast, the equation of a horizontal line is given by ( y = b ), where ( b ) is the y-coordinate of any point on the line. For instance, the horizontal line passing through the point (4, 2) is represented by ( y = 2 ).
How do you calculate the absolute magnitude of a star from its brightness ratio?
Use the equation Absolute magnitude=Apparent Magnitude+5 -(5x Log x Distance)
What is the term for the vertical line on a coordinate plane?
"The" vertical line is wrong; there are lots of vertical lines on a coordinate plane. In the usual x-y coordinate system, such a line has an equation of the form:x = a (for some constant "a"); for example: x = 3
How can you use a number line to solve an absolute value equation?
An absolute value may not need a number line to solve. Absolute value means the distance form zero regardless of the sign.
