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Why does it not matter what point you use on a line to determine the equation of it?
Wiki User
∙ 14y ago
The equation of a line in slope-intercept form (y = m*x + b) involves constants m and b, the independent variable x and the dependent variable y. The constants m and b are properties of the whole line and do not depend on the point chosen.
There are actually infinitely many equations that represent a given line. In fact, there is another form of a line equation called two-point form [y - y1 = (y2 - y1)/(x2 - x1)(x - x1)]. Obviously a different equation can be determined for any pair of points ((x1, y1), (x2, y2)) on the line.
Wiki User
∙ 14y ago
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How do you determine if a point lies on the same line?
A point lies on a line if the coordinates of the point satisfy the equation of the line.
Equation of a line and a point using substitution to determine whether the point is on the line y equals 5x plus 3 A18?
Yes its on the line.
Determine the point at which the graph of the function has a horizontal tangent line for the equation?
For the equation (9x^2)/(x^2+4)
How do you find the equation of a line without graphing?
There are a couple ways to determine the equation of a line without graphing. How to proceed depends on what you know about the line. Do you know a point, (x1, y1), and slope, m? Then use the point-slope formula, Do you know two points on the line, say (x1, y1) and (x2, y2)? Then use the two-point formula,
How do you find a point lying on the line?
Substitute the coordinates of the point into the equation of the line. If the result is true, then the point is on the line.
How do you determine whether a point is on a given line or not?
Substitute the coordinates of the point into the equation of the line. If the equation is still valid then the point is on the line; if not then it is not.
How do you determine if a point lies on the same line?
A point lies on a line if the coordinates of the point satisfy the equation of the line.
Equation of a line and a point using substitution to determine whether the point is on the line y equals 5x plus 3 A18?
Yes its on the line.
How do you determine if a certain point lies on a given line by just having the coordinates for the point and the equation of the line?
Substitute the x coordinate into the equation for x and calculate y. If the formla gives the same y value as the coordinates, the point is on the line. If it is diffent, it is not on the line.
Determine the point at which the graph of the function has a horizontal tangent line for the equation?
For the equation (9x^2)/(x^2+4)
What does solving the equation for a line tell us?
A line is represented by an equation. Each solution of the equation is a point on the line, and each point on the line is a solution to the equation. So the line is just the graph of the solution set of the equation.
How do write an equation of a line when given the slope a point of the line?
if a line has a slope of -2 and a point on the line has coordinates of (3, -5) write an equation for the line in point slope form
How do you find the equation of a line without graphing?
There are a couple ways to determine the equation of a line without graphing. How to proceed depends on what you know about the line. Do you know a point, (x1, y1), and slope, m? Then use the point-slope formula, Do you know two points on the line, say (x1, y1) and (x2, y2)? Then use the two-point formula,
How do you find a point lying on the line?
Substitute the coordinates of the point into the equation of the line. If the result is true, then the point is on the line.
If you have a point on a line what else is needed in order to create an equation?
If a point on a line is already known, what else is needed in order to create an equation
What is the equation of a line in general form with a point -3 0 and an undefined slope?
You can have infinitely many lines through one specific point, each with a different equation. If you want to have a general equation for ANY line that goes through that point, use the point-slope equation for a line, and use a variable for the slope.
How can you check if a point is on a given line?
Improved Answer:Find the equation of the line that is given.Check to see if the coordinates of the point satisfy the equation of the line.-411LeonOld Answer:Don't ask us!!
