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How can you compare a linear function represented in a table to one represented as a graph?

To compare a linear function in a table to one represented as a graph, you can examine key characteristics such as the slope and y-intercept. In the table, the slope can be determined by calculating the change in y-values divided by the change in x-values between two points. On the graph, the slope is visually represented by the steepness of the line, while the y-intercept is the point where the line crosses the y-axis. Both representations should reflect the same linear relationship if they describe the same function.


What is the slope of a line that is perpendicular to the line represented by the equation y-5x equals 5?

The slope is -0.2


What is the slope of the line represented by the equation x equals -3?

x = -3 represents a vertical line whose slope is undefined.


What is the equation of the line represented by the table of values?

To determine the equation of a line from a table of values, first identify two points from the table, typically in the form (x₁, y₁) and (x₂, y₂). Calculate the slope (m) using the formula ( m = \frac{y₂ - y₁}{x₂ - x₁} ). Then, use the point-slope form ( y - y₁ = m(x - x₁) ) to find the equation of the line. If necessary, rearrange it into slope-intercept form ( y = mx + b ).


What is the equation of the line from the table of values?

To determine the equation of a line from a table of values, first identify two points from the table, typically represented as (x₁, y₁) and (x₂, y₂). Calculate the slope (m) using the formula ( m = \frac{y₂ - y₁}{x₂ - x₁} ). Then, use the point-slope form of the equation ( y - y₁ = m(x - x₁) ) to derive the line's equation, or convert it to slope-intercept form ( y = mx + b ) if needed.

Related Questions

How can you compare a linear function represented in a table to one represented as a graph?

To compare a linear function in a table to one represented as a graph, you can examine key characteristics such as the slope and y-intercept. In the table, the slope can be determined by calculating the change in y-values divided by the change in x-values between two points. On the graph, the slope is visually represented by the steepness of the line, while the y-intercept is the point where the line crosses the y-axis. Both representations should reflect the same linear relationship if they describe the same function.


What is the slope of a line that is perpendicular to the line represented by the equation y-5x equals 5?

The slope is -0.2


What is the slope of the line graphed below?

Answer t What is the slope of the line graphed below?his question…


If the slope of the green line is -3 what is the slope of the red line?

The lines below are perpendicular. If the slope of the green line is -1, what is the slope of the red line?


What is the slope of the line represented by the equation y equals -4x 2?

The slope is -4


How is constant speed represented on a time graph?

On a time graph, constant speed is represented by a straight line with a constant slope. The slope of the line indicates the speed of the object – the steeper the slope, the faster the speed, and the shallower the slope, the slower the speed.


What is the slope of the line represented by the equation x equals -3?

x = -3 represents a vertical line whose slope is undefined.


What is the equation of the line represented by the table of values?

To determine the equation of a line from a table of values, first identify two points from the table, typically in the form (x₁, y₁) and (x₂, y₂). Calculate the slope (m) using the formula ( m = \frac{y₂ - y₁}{x₂ - x₁} ). Then, use the point-slope form ( y - y₁ = m(x - x₁) ) to find the equation of the line. If necessary, rearrange it into slope-intercept form ( y = mx + b ).


What is the equation of the line from the table of values?

To determine the equation of a line from a table of values, first identify two points from the table, typically represented as (x₁, y₁) and (x₂, y₂). Calculate the slope (m) using the formula ( m = \frac{y₂ - y₁}{x₂ - x₁} ). Then, use the point-slope form of the equation ( y - y₁ = m(x - x₁) ) to derive the line's equation, or convert it to slope-intercept form ( y = mx + b ) if needed.


What is the slope of a line that is parallel to the line represented by the equation y-5x equals 5?

5


The two lines below are parallel If the slope of the red line is 3 what is the slope of the green line?

Parallel lines have the same slope.


What is the slope of the line shown below (-3-2) (4-2)?

what is the slope of the line below? (-1,-4) (2.2)