0
What else can I help you with?
A line that has a different slope at each point is a slope or curve?
Any function that can't be drawn as a straight line will have a different slope at consecutive point. If it has to have a different slope at every point, the function constantly increasing or decreasing with a positive or negative concavity everywhere. Function of the form y=a^x and y=log(x) fit this description perfectly. Functions of the odd roots of x would also display similar behavior.
What is the formula for slope of a perpendicular line?
if line's A and B are perpendicular to each other, the slope of A = -1/(the slope of B)
What is the slope of a curve line?
The slope of a curved line changes as you go along the curve and so you may have a different slope at each point. Any any particular point, the slope of the curve is the slope of the straight line which is tangent to the curve at that point. If you know differential calculus, the slope of a curved line at a point is the value of the first derivative of the equation of the curve at that point. (Actually, even if you don't know differential calculus, the slope is still the value of the function's first derivative at that point.)
Do perpendicular lines have the same exact slope?
No, parallel lines have exactly same slope Perpendicular line have a slope that is negative reciprocal of each other that is if m = slope of line then slope of perpendicular line is -1/m
What is slope and why is the letter m used to represent slope in formulas?
The slope of a graph is a measure of the rate at which it rises. It is measured as the "rise"/"run" which is the ratio of the increase in height for each unit move in the horizontal direction. The slope of a line going from bottom left to top right is positive. "M" stood for the Modulus of slope.
What are multiple representations of a linear function?
Multiple representations of a linear function include its slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept; the point-slope form (y - y₁ = m(x - x₁)), which uses a specific point (x₁, y₁) on the line; and the standard form (Ax + By = C), where A, B, and C are integers. Additionally, linear functions can be represented graphically as straight lines on a coordinate plane. Each representation provides different insights into the function's characteristics and relationships.
How is constant speed represented on a distance time motion graph?
On a distance-time graph, a constant speed is represented by a straight, diagonal line with a constant slope. This slope indicates that the object is covering the same distance for each unit of time, meaning its speed is consistent throughout the motion.
A line that has a different slope at each point is a slope or curve?
Any function that can't be drawn as a straight line will have a different slope at consecutive point. If it has to have a different slope at every point, the function constantly increasing or decreasing with a positive or negative concavity everywhere. Function of the form y=a^x and y=log(x) fit this description perfectly. Functions of the odd roots of x would also display similar behavior.
What is the relationship among proportional relationships lines rates of change and slope?
For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.
What are the 3 main characteristics of a function?
Each input has only one output. The same input will always produce the same output. The function can be represented by an equation or a graph.
What is the slope of the line given y equals 2 over 17x?
The function y = 2/17x has a slope = -2/17x2 so that for each value of x (other than zero) it has a different slope. Near x = zero its slope approaches + or - infinity, while for large x it approaches zero.
What is all the names of the slope?
The slope of a line is also known as the gradient, rise over run, or steepness. In mathematical contexts, it is often represented by the letter "m." Additionally, in certain applications, it may be referred to as the rate of change or inclination. Each of these terms emphasizes different aspects of the slope's role in describing linear relationships.
How is a linear function represented in a table?
A linear function can be represented in a table by listing pairs of input (x) and output (y) values that satisfy the linear equation, typically in the form y = mx + b, where m is the slope and b is the y-intercept. Each row in the table corresponds to a specific x-value, with its corresponding y-value calculated using the linear equation. As the x-values increase or decrease, the y-values will change linearly, reflecting a constant rate of change. This results in a straight-line relationship when graphed.
How are functions equation slopes and graphs related?
There are some relationships but not all relationships are always true. Any function can be represented by an equation. But all equations are not functions. For example, y = sqrt(x) is the equation of the square root relationship which can be graphed as a parabola on its side, but it is not a function. It has slopes at each point. Some functions can be plotted as graphs but not all. A function such as f(x) = 1 when x is rational, and f(x) = 0 when x is irrational has no slope and cannot be plotted as a graph. A graph of a vertical line is not a function.
What is the formula for slope of a perpendicular line?
if line's A and B are perpendicular to each other, the slope of A = -1/(the slope of B)
What is the slope of a curve line?
The slope of a curved line changes as you go along the curve and so you may have a different slope at each point. Any any particular point, the slope of the curve is the slope of the straight line which is tangent to the curve at that point. If you know differential calculus, the slope of a curved line at a point is the value of the first derivative of the equation of the curve at that point. (Actually, even if you don't know differential calculus, the slope is still the value of the function's first derivative at that point.)
Is 5-y equals 3x a function?
2
