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One way to find the equation of a line is to look at some points on it and try to find the relationship between the coordinates?
Yes. You need only two points.
If A (ax, ay) and B (bx, by) are two points on the line then the gradient (slope) of the line is m = (by - ay)/(bx - ax) provided bx ≠ ax.
From this you can calculate m. Then the general slope-intercept form of the equation is y = mx + c
Substitute the coordinates of A or B into this equation to find c.
If bx = ax then the line is parallel to the y axis and its equation is x = ax.
[There are other methods but they are similar to the above]
What else can I help you with?
How can you find an equation line between two pair of points?
Assuming you want the equation of the straight line between the two points (x0, y0) and (x1, y1), the equation is: y - y0 = m(x - x0) where m is the gradient between the two points: m = (y1 - y0) ÷ (x1 - x0) Note: if the two x coordinates are equal, that is x0 = x1, then the equation of the line is x = x0.
What method can be used to write the equation of a line in slope-intercept form given two points?
You can follow the following steps. * First, you determine the slope between the two points. Just calculate delta-y / delta-x (that is, difference in y-coordinates, divided by the difference in x-coordinates, between the two points). * Next, you use the point-slope formula, to get an equation for the line. You can use any of the two points for this; each of the points will give you an equation that looks different, but the two equations are equivalent, if you do everything correctly. * Finally, solve the resulting equation for "y"; that will give you the equation in slope-intercept form.
What points are on the line given by the equation y equals x?
Y Equals X PointsAll points that has the same y coordinates as x coordinates are on the y=x line.
How do you use absolute value to find the distance between two points that have the same x coordinates?
It is simply the difference between their y coordinates.
What is the equation of the line whose coordinates are at 2 3 and 11 13?
Points: (2, 3) and (11, 13) Slope: 10/9 Equation: 9x = 10x+7
The equation that shows the relationship between coordinates of points on a line is called the?
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The equation that shows the relationship between coordinates of points on a line is called the what?
Ofwgkta dgaf loiter squad 666
What is the equation that show the relationship between coordinates of points on a line called?
It is a straight line equation in the form of y = mx+c whereas m is the slope and c is the y intercept
An equation allows you to find the x- and y-coordinates of any point on the xy-plane.?
An equation that relates x and y coordinates defines a specific relationship between the two variables, allowing you to determine the position of points on the xy-plane. For example, a linear equation like (y = mx + b) gives you the y-coordinate for any given x-coordinate, and vice versa. By substituting different values of x or y into the equation, you can generate a set of points that lie on the graph of the equation, illustrating the relationship visually on the plane. This ability to derive coordinates from an equation is fundamental in analyzing and graphing mathematical relationships.
How do you write an equation that represents points in a table?
The answer depends on what relationship - if any - exists between the points in the table. There need not be any relationship.
How do you get a solution set?
The solution set for a given equation is the set of all points such that their coordinates satisfy the equation.
A set of points arrange in a row?
They could be the coordinates of a straight line equation
How are the graph of an equation and the set of all solutions of an equation related?
The coordinates of every point on the graph, and no other points, are solutions of the equation.
What information does the graph of a function provide with respect to the algebraic equation?
The coordinates of the points on the curve represent solutions of the equation.
What does the line represent when you graph a linear equation?
It is the locus of all points whose coordinates satisfy the equation of the line.
How can you find an equation line between two pair of points?
Assuming you want the equation of the straight line between the two points (x0, y0) and (x1, y1), the equation is: y - y0 = m(x - x0) where m is the gradient between the two points: m = (y1 - y0) ÷ (x1 - x0) Note: if the two x coordinates are equal, that is x0 = x1, then the equation of the line is x = x0.
Define and explain the term graph?
A diagram that exhibits a relationship, often functional, between two sets of numbers as a set of points having coordinates determined by the relationship.
