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How do you write the equation of a line with only the x-intercept and coordinates pair?
You can only do so if the coordinate pair is other than the x intercept.
Suppose the x intercept is A = (a, 0) and suppose the coordinate pair is R = (s, t)
Then gradient = (t-0)/(s-a) = t/(s-a)
Suppose P = (x, y) are the coordinates of any point on the line. Then gradient of PA = (y-0)/(x-a) = y/(x-a)
The two gradients must be the same so t/(s-a) = y/(x-a)
or y*(s-a) = t*(x-a)
or y = t/(s-a)*x - ta/(s-a) which is of the form y = mx + c
with m = t/(s-a)
and c = -ta(/(s-a)
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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 do you find coordinates of a line from an equation without graphing?
By substitution
What are coordinates for -4x plus 9y equals 0?
-4x + 9y = 0 is the equation of a line in the Cartesian plane and the coordinates of any of the infinite number of points on that line will satisfy the equation.
How can you find the coordinates of two lines mathematically given the equation of both?
Subtract the equation of one line from the equation of the other
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 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
The slope of the line below is 2 Write the point-slope equation for the line using the coordinates of the labeled point Do not include spaces in your answer?
-5
Write the equation for the line that passes through -1 0 and 5 0?
Since the slope of the line is 0, then the line is a horizontal line, and since the y-coordinates of the two points are 0, then the line lies on the x-axis. Thus, the equation of the line is y = 0.
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 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 find coordinates of a line from an equation without graphing?
By substitution
What are coordinates for -4x plus 9y equals 0?
-4x + 9y = 0 is the equation of a line in the Cartesian plane and the coordinates of any of the infinite number of points on that line will satisfy the equation.
How can you find the coordinates of two lines mathematically given the equation of both?
Subtract the equation of one line from the equation of the other
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.
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 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.
How do you find the equation of a line with two coordinates?
Assume the equation is y = kx + c Put in the x and y values of your known coordinates and sove the simultaneous equations.
