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How do you find the equation of line when given a table of values for the variables?
To find 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 of the equation, ( y - y₁ = m(x - x₁) ), to derive the line's equation. Finally, you can convert this to slope-intercept form (y = mx + b) if desired.
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 a line in slope-intercept form?
A line in slope-intercept form is: y = mx + b m is the slope of the line, and b is the y-intercept. To find the slope, find any two coordinates, and divide the difference in y-values by the difference in x-values; to find the y-intercept, find the value of y where x = 0.
How can you find the slope of a line by using a table?
take two ordered pairs. then do difference of y's divided by difference of x's and that is your slope
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.
How can you find the slope of a line from the table of values from a line?
Pick any two points in the table. The slope of the line is(change in the y-value from one point to the other)/(change in the x-value from the same point to the other)
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 a line in slope-intercept form?
A line in slope-intercept form is: y = mx + b m is the slope of the line, and b is the y-intercept. To find the slope, find any two coordinates, and divide the difference in y-values by the difference in x-values; to find the y-intercept, find the value of y where x = 0.
How can you find the slope of a line by using a table?
take two ordered pairs. then do difference of y's divided by difference of x's and that is your slope
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.
How do you find the linear function when given a table of values for the variables?
To find the linear function from a table of values, 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 of the linear equation ( y - y1 = m(x - x1) ) to derive the equation of the line. Finally, you can rearrange it into slope-intercept form ( y = mx + b ) if needed.
If given two points from a linear table of values how can you calculate the slope of the equation that was used to generate the table?
Choose two distinct points from the table and designate their coordinates as x1, y1 and x2, y2. The slope of the line then will equal (y2 - y1)/(x2 - x1).
Find the slope of the line that passes through the pair of points.(34,5),(54,2)?
To find the slope of a line, which is m, you can take the difference between the y-values and divide it by the different between the x-values of the two points, in this case are (34,5) and (54,2). So, your slope is equal to (2-5)/(54-34)=-3/20
What is the slope of the line containing the points shown in the table?
Slope m = change in y divided by change in x. Pick two coordinates from the table. (x1, y1) and (x2, y2). (y2-y1)/(x2-x1) = slope of the line. Note that the 1 and 2 are not numbers in the equation but represent the x and y values from coordinates 1 and 2.
How can you use a table or graph to find a slope?
To find the slope using a table or graph, identify two points on the line or in the table that represent (x, y) coordinates. The slope (m) can be calculated using the formula ( m = \frac{y_2 - y_1}{x_2 - x_1} ), where ( (x_1, y_1) ) and ( (x_2, y_2) ) are the coordinates of the two points. In a graph, the slope represents the steepness of the line, indicating how much y changes for a unit change in x. By examining the rise over run visually in the graph or through the differences in the table, you can determine the slope.
Describe the process of finding slope from a table of values?
to find the slope of the line passing through the points (x1,y1) and (x2,y2) you must do: (y2-y1) / (x2-x1) for the points (3,5) and (4,6): (6-5) / (4-3). you only need two points.
How do you find the slope of the line that passes through 2 points?
Assume your points are (x1, y1) and (x2, y2). The slope of a line is its rise (the change in y-coordinates) over its run (the change in x-coordinates). So to find the slope of the line, you substitute the correct values into the formula (y2 - y1) / (x2 - x1).
