0
The change in Y for every change in X is represented by the slope of a line in a linear equation, typically written as Y = mx + b, where m is the slope. In statistical terms, this relationship is often described using regression analysis, where the slope indicates the rate of change in the dependent variable (Y) for a one-unit change in the independent variable (X). Thus, the slope quantitatively shows how much Y changes with respect to changes in X.
What else can I help you with?
What is different between absolute and percentage change?
If a variable goes from X to Y, change = Y-X.The absolute change = Y-X or X-Y, whichever is positive.The percentage change = 100*Change/X = 100*(Y-X)/X or 100*(Y/X - 1)
How can you reflect figures in the x-axis and y-axis?
For a given coordinate pair. A reflection in the y-axis is making the 'x' term negative. e.g. ( a,b,) ' (-a, b). Similarly for a reflection in the x-axis is making the 'y' term negative. e/.g. ( c,d) ; ( c,-d).
What is the rate of change y equals -3x plus 10?
y is reduced by 3 units for every increase of 1 in x.
Does slope equals change in y change in x?
yes, change in y over change in x equals slope
The change in y over the change in x?
the change in y over the change in x equals the slope(m) in the equation y=mx+b
What is different between absolute and percentage change?
If a variable goes from X to Y, change = Y-X.The absolute change = Y-X or X-Y, whichever is positive.The percentage change = 100*Change/X = 100*(Y-X)/X or 100*(Y/X - 1)
What happens to the y value if the x value is increased by 1?
If the equation is y= x+2, then y will increase 1 when x increases 1 lets say x is 1 y will be 3 if x is 2, y will be 4 y=2x+5 y will increase 2 every time x increases by 1 x=1 y would be7 x=2 y would be 9 So the number that is multiplied by x is what determines the change in y, the numbers that are added or subtracted don't matter. so y=7x y would change 7 every time x is changed 1 80x would mean that y changes 80 each time x changes by 1
How can you reflect figures in the x-axis and y-axis?
For a given coordinate pair. A reflection in the y-axis is making the 'x' term negative. e.g. ( a,b,) ' (-a, b). Similarly for a reflection in the x-axis is making the 'y' term negative. e/.g. ( c,d) ; ( c,-d).
What is the rate of change y equals -3x plus 10?
y is reduced by 3 units for every increase of 1 in x.
How do you write an equation that shows y is a function of x?
The normal way of showing that y is a function of x is to write y = f(x).
The change in y's over the change in x's?
the change in y over the change in x equals the slope(m) in the equation y=mx+b
Why is it important to find the slope of a line?
A line is used to describe the relationship between two variables, often an independent variable that is measured on the x-axis, and a dependent variable that is measured along the y-axis.The slope of the line tells you how much y will change for every unit change (change of -1 or +1) in x.A line is used to describe the relationship between two variables, often an independent variable that is measured on the x-axis, and a dependent variable that is measured along the y-axis.The slope of the line tells you how much y will change for every unit change (change of -1 or +1) in x.A line is used to describe the relationship between two variables, often an independent variable that is measured on the x-axis, and a dependent variable that is measured along the y-axis.The slope of the line tells you how much y will change for every unit change (change of -1 or +1) in x.A line is used to describe the relationship between two variables, often an independent variable that is measured on the x-axis, and a dependent variable that is measured along the y-axis.The slope of the line tells you how much y will change for every unit change (change of -1 or +1) in x.
What is the meaning of the term elastic and inelastic?
x is elastic to y: when y changes, x tends to change a lot with it. x is inelastic to y: when y changes, x does not change much with it.
Which graph shows a reflection across the x-axis?
y = -f(x) is a reflection of y = f(x) in the x axis.
Does slope equals change in y change in x?
yes, change in y over change in x equals slope
The change in y over the change in x?
the change in y over the change in x equals the slope(m) in the equation y=mx+b
How can you find the slope of a line from a table of values of the line?
To find the slope of a line from a table of values, identify two points from the table, typically in the form (x₁, y₁) and (x₂, y₂). The slope (m) can be calculated using the formula ( m = \frac{y₂ - y₁}{x₂ - x₁} ). Ensure that the x-values are different to avoid division by zero. The resulting value represents the change in y for every unit change in x.
