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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.
What else can I help you with?
What is a linear equation with a undefined slope?
A linear equation with an undefined slope is an equation where, when graphed, forms a vertical line. For example: when given 2 points: (2, 4) (2,7) ~ The x-values are the same, while the y-values differ, which would create a vertical line when the points are graphed
How would you determine whether two tables of values represented the same linear graph?
Plot all the points on the same coordinate grid. If they all lie on the same line then it is probably that they represent the same linear graph. I said probably because it is always possible that the points are not defined by a linear relation. Given any set of n collinear points, it is always possible to find a polynomial of degree n which will pass through each one of them.
Explain why you can draw a continuous linear function if you only know two ordered pairs?
You can only draw one straight line through any two given points.
Where the given equations are not linear?
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
Which ordered pairs is a solution of the given system of linear equations?
That would depend on the given system of linear equations which have not been given in the question
What is the prediction method used to estimate a point on a line that does not lie between the given points?
The answer is linear extrapolation.
What is a linear equation with a undefined slope?
A linear equation with an undefined slope is an equation where, when graphed, forms a vertical line. For example: when given 2 points: (2, 4) (2,7) ~ The x-values are the same, while the y-values differ, which would create a vertical line when the points are graphed
How would you determine whether two tables of values represented the same linear graph?
Plot all the points on the same coordinate grid. If they all lie on the same line then it is probably that they represent the same linear graph. I said probably because it is always possible that the points are not defined by a linear relation. Given any set of n collinear points, it is always possible to find a polynomial of degree n which will pass through each one of them.
Using the linear velocity of the points on the outside of gear 2 found in step b and the radius of gear 2find the gears angular velocity?
The linear velocity of the points on the outside of gear 2 can be converted to angular velocity by dividing by the radius of gear 2. This relationship is given by the formula: angular velocity = linear velocity / radius. By plugging in the values for linear velocity and radius, you can calculate the angular velocity of gear 2.
How do you write a linear equation given two points?
There are several ways, depending on the form of linear equation you want. I prefer the slope-intercept form, y = mx + b. Given two points, (x1, y1) and (x2, y2), we can calculate the values of m and b. The slope is m = (y2 - y1)/(x2 - x1). Plugging this and the coordinates of one of the points (say, (x1, y1)), we getb = y1 - mx1.But you are probably more interested in the two point form (for obvious reasons). This is basically an equation of the slope at a general point (x, y) with that at (x2, y2), namely (y - y1)/(x - x1) = (y2 - y1)/(x2 - x1).
Explain why you can draw a continuous linear function if you only know two ordered pairs?
You can only draw one straight line through any two given points.
Where the given equations are not linear?
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
Which ordered pairs is a solution of the given system of linear equations?
That would depend on the given system of linear equations which have not been given in the question
How can you write the equation for a linear function if you know only two ordered pairs for the functionDrag tiles to complete the explanation.?
the Equation of a Line Given That You Know Two Points it Passes Through.
What is the process of predicting values between the graphed points on a line?
The process is called interpolation, which applies a computed formula of the line to a given x or y value. (More specifically, it is "linear interpolation".)
What is the formula to calculate the linear velocity of a wheel when it is rotating at a given angular velocity?
The formula to calculate the linear velocity of a wheel when it is rotating at a given angular velocity is: linear velocity radius of the wheel x angular velocity.
What is the formula for calculating the linear packing fraction of a material in a given space?
The formula for calculating the linear packing fraction of a material in a given space is: Linear Packing Fraction (Sum of diameters of all spheres) / (Length of the space)
