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What does slope tell you about change x and y?
The slope of a line represents the rate of change between the dependent variable (y) and the independent variable (x). Specifically, it indicates how much y changes for a unit change in x; a positive slope means y increases as x increases, while a negative slope indicates that y decreases as x increases. The steeper the slope, the greater the rate of change. Slope can also be interpreted as the average rate of change over the interval being considered.
What does slope tell you?
Rise over run or y over x.
How can you tell if two equations are parallel?
if they have the same slope If two linear equations are inconsistent - that is, have no solution, then the graphs would be parallel and have the same slope if their slope is defined. Example: x + y = 1 x + y = 2 Example with no slope: x = 1 x = 2
How can you calculate the slope from a table?
To calculate the slope from a table, identify two points represented in the table, typically given as (x₁, y₁) and (x₂, y₂). Use the formula for slope, which is (y₂ - y₁) / (x₂ - x₁). This gives you the change in the y-values divided by the change in the x-values, indicating how much y changes for a one-unit change in x. Ensure the x-values are not the same to avoid division by zero.
What is the slope of the line y equals x?
y=x y=1x The slope is one.
What does slope tell you about changes in x and y?
G
Why is product of slopes of x axis and y axis not equal to one?
We know that the slope of a line is (Changes in y)/(Changes in x). Does the y-axes has changes in y? No. This means that y-axis does not have a slope. The same thing is for x-axis.
What does slope tell you about change x and y?
The slope of a line represents the rate of change between the dependent variable (y) and the independent variable (x). Specifically, it indicates how much y changes for a unit change in x; a positive slope means y increases as x increases, while a negative slope indicates that y decreases as x increases. The steeper the slope, the greater the rate of change. Slope can also be interpreted as the average rate of change over the interval being considered.
Why is the slope called the rate of change?
On a graph, the slope does tell you the rate of change of y with respect to x. If the slope is steep, that means that there is a high rate of change of y with respect to x. If the slope is shallow, then y is not changing that rapidly with respect to x.
How does a graph line with a steeper slope compare to one witha shallower slope?
It changes in x and in y
What does slope tell you?
Rise over run or y over x.
How can you tell if two equations are parallel?
if they have the same slope If two linear equations are inconsistent - that is, have no solution, then the graphs would be parallel and have the same slope if their slope is defined. Example: x + y = 1 x + y = 2 Example with no slope: x = 1 x = 2
How can you calculate the slope from a table?
To calculate the slope from a table, identify two points represented in the table, typically given as (x₁, y₁) and (x₂, y₂). Use the formula for slope, which is (y₂ - y₁) / (x₂ - x₁). This gives you the change in the y-values divided by the change in the x-values, indicating how much y changes for a one-unit change in x. Ensure the x-values are not the same to avoid division by zero.
What is the slope of the line y equals x?
y=x y=1x The slope is one.
Why can slope be referred to as rate of change?
Slope can be referred to by rate of change because it is the rate that x changes compared to y on a graph.
Is y equals -x an undefined slope?
No it is not an undefined slope; the slope of y = -x is -1.The standard form of a linear equation is y = mx + b, where m is the slope, and b is the y-intercept. In y = -x, the y-intercept is 0, and the slope is -1.
What is the slope of a graph that is parallel to the y-axis?
The slope is (change in 'y' produced by a change in 'x') divided by (change in 'x' that produces it). The slope of any horizontal line on the graph is zero because the value of 'y' is the same everywhere on the line. No matter how much you change 'x' along the line, 'y' never changes.
