An x-y table, also known as a coordinate table, is a tool used in mathematics to display the relationship between two variables, typically represented as 'x' and 'y'. It consists of two columns: one for the x-values (independent variable) and one for the corresponding y-values (dependent variable). This table helps visualize how changes in x affect y, making it easier to analyze functions or data sets. x-y tables are often used in graphing, allowing for the plotting of points on a Cartesian coordinate system.
to have the values of x and y in a table
The equation ( y - x - 5 = 0 ) can be rewritten as ( y = x + 5 ). To create a table of values, you can choose various ( x ) values and calculate the corresponding ( y ) values. For example, if ( x = 0 ), then ( y = 5 ); if ( x = 1 ), then ( y = 6 ); and if ( x = -1 ), then ( y = 4 ). A correct table might look like this: | ( x ) | ( y ) | |-------|-------| | 0 | 5 | | 1 | 6 | | -1 | 4 |
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.
A table shows a proportional relationship between x and y if the ratio of y to x is constant for all pairs of values. This means that for each value of x, the corresponding value of y can be expressed as y = kx, where k is a constant. To identify such a table, check if the values of y divided by the corresponding values of x yield the same result throughout the table. If they do, then the relationship is proportional.
Not necessarily.
Fill in Y = 5 - X (Y= button). CALC TABLE.
to have the values of x and y in a table
By finding the differences between the x and y columns on the table.
The equation ( y - x - 5 = 0 ) can be rewritten as ( y = x + 5 ). To create a table of values, you can choose various ( x ) values and calculate the corresponding ( y ) values. For example, if ( x = 0 ), then ( y = 5 ); if ( x = 1 ), then ( y = 6 ); and if ( x = -1 ), then ( y = 4 ). A correct table might look like this: | ( x ) | ( y ) | |-------|-------| | 0 | 5 | | 1 | 6 | | -1 | 4 |
A table shows a proportional relationship between x and y if the ratio of y to x is constant for all pairs of values. This means that for each value of x, the corresponding value of y can be expressed as y = kx, where k is a constant. To identify such a table, check if the values of y divided by the corresponding values of x yield the same result throughout the table. If they do, then the relationship is proportional.
x=y
Not necessarily.
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 ).
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.
There are many possibilities, but the simplest answer is y = 10 - x
To find the slope of a linear relationship from a table, select two points (x₁, y₁) and (x₂, y₂) from the table. The slope (m) can be calculated using the formula ( m = \frac{y₂ - y₁}{x₂ - x₁} ). To determine the y-intercept (b), substitute the slope and one of the points into the linear equation ( y = mx + b ) and solve for b. This will give you the equation of the line in the form ( y = mx + b ).
If: 5 = x-y Then: y = x-5