y = mx + c
m = slope = rise/run
c = y intercpt
To write the equation of a linear function given two points, you can use the slope-intercept form, (y = mx + b). First, calculate the slope (m) using the formula (m = \frac{y_2 - y_1}{x_2 - x_1}). Then, substitute one of the points into the equation to solve for the y-intercept (b). Finally, write the complete equation using the calculated slope and y-intercept.
-- Take the equation. -- Say to yourself, "At the x-intercept, y=0". Set 'y' equal to zero, solve the equation for 'x', and you have the x-intercept. -- Take the original equation again. -- Say to yourself, "At the y-intercept, x=0". Set 'x' equal to zero, solve the equation for 'y', and you have the y-intercept.
The y-intercept, together with the slope of the line, can also be used in graphing linear equations. The slope and y-intercept of a line can be obtained easily by inspection if the equeation of the line is of the form y=mx+b where m is the slope and b is the y-intercept.
4
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 ).
you cant
To write the equation of a linear function given two points, you can use the slope-intercept form, (y = mx + b). First, calculate the slope (m) using the formula (m = \frac{y_2 - y_1}{x_2 - x_1}). Then, substitute one of the points into the equation to solve for the y-intercept (b). Finally, write the complete equation using the calculated slope and y-intercept.
-- Take the equation. -- Say to yourself, "At the x-intercept, y=0". Set 'y' equal to zero, solve the equation for 'x', and you have the x-intercept. -- Take the original equation again. -- Say to yourself, "At the y-intercept, x=0". Set 'x' equal to zero, solve the equation for 'y', and you have the y-intercept.
If it is a linear function, it is quite easy to solve the equation explicitly, using standard methods of equation-solving. For example, if you have "y" as a function of "x", you would have to solve the variable for "x".
The y-intercept, together with the slope of the line, can also be used in graphing linear equations. The slope and y-intercept of a line can be obtained easily by inspection if the equeation of the line is of the form y=mx+b where m is the slope and b is the y-intercept.
4
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 ).
To calculate the absorbance of an unknown sample using a linear equation, you first need to establish a calibration curve by plotting the absorbance values of known standards against their concentrations. The resulting linear equation, typically in the form (y = mx + b), relates absorbance (y) to concentration (x), where (m) is the slope and (b) is the y-intercept. By measuring the absorbance of the unknown sample and substituting this value into the linear equation, you can solve for the concentration of the unknown sample. This allows you to determine the absorbance based on its concentration derived from the calibration curve.
You cannot solve one linear equation in two variables. You need two equations that are independent.
To determine the equation that models the data in the table with the variables ( d ) (number of days) and ( c ) (cost), you would typically look for a linear relationship of the form ( c = md + b ), where ( m ) is the slope and ( b ) is the y-intercept. By analyzing the data points in the table, you can calculate the slope using the change in cost divided by the change in days between two points. Once you have the slope, you can use one of the data points to solve for the y-intercept, allowing you to construct the complete linear equation.
Every straight line can be represented by an equation: y = mx + b. The coordinates of every point on the line will solve the equation if you substitute them in the equation for x and y.The slope m of this line - its steepness, or slant - can be calculated like this:m = change in y-valuechange in x-valueThe equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.The y-intercept of this line is the value of y at the point where the line crosses the y axis.
you create ordered pairs or a serious of (x,y) points on the graph which you can plot and connect with a straight line