graph
Y Equals X PointsAll points that has the same y coordinates as x coordinates are on the y=x line.
(4,2), (2,1),(-2,-1)
It is easiest to describe the difference in terms of coordinate geometry. A linear equation defines a straight line in the coordinate plane. Every point on the line satisfies the equation and no other points do. For a linear inequality, first consider the corresponding linear equality (or equation). That defines a straight line which divides the plane into two. Depending on the direction of the inequality, all points on one side of the line or the other satisfy the equation, and no point from the other side of the line does. If it is a strict inequality (< or >) then points on the line itself are excluded while if the inequality is not strict (≤or ≥) then points on the line are included.
y=-x
15
-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.
There are infinitely many answers and they comprise the coordinates of all points on the line that satisfy the equation.
It is the locus of all points whose coordinates satisfy the equation of the line.
It is a horizontal line in the Cartesian plane, or a vertical line in the complex plane. The reason is that these points satisfy the equation while no others do.
It is the set of infinitely many points on a straight line in 2-dimensional space. The points satisfy the equation x + y = 2 or y = 2 - x
is an equation of a line in plane coordinate geometry. The coordinates of every point on that line satisfy the equation so there are an infinite number of solutions to the equation.
This is an equation of a line. There are an infinite number of solutions which are all points on the line. It is a linear equation.
They are the set of points that satisfy the equation Y = 4X + 2. So pick any value for X. Multiply it by 4, add 2 and you have the corresponding value of Y. That point (X, Y) is one of the points on the line. Pick another X and calculate the corresponding Y. And so on.
There are infinitely many points on any line and it is impossible to list them. The points are those whose x and y coordinates satisfy the given equation.
That statement itself is an equation, and there are an infinite number of (x, y) pairs of numbers that satisfy it. To draw a graph of the equation, draw a straight line that rises toward the right at an angle of 45° and passes through [ y = -1/4 ] on the y-axis. The x-value and y-value of every point on that line satisfy your equation. (And we all know how many points there are on a line. Particularly on a line that has no ends.)
Y Equals X PointsAll points that has the same y coordinates as x coordinates are on the y=x line.
There are infinitely many points on the line defined by the given equation.