Choose two distinct points from the table and designate their coordinates as x1, y1 and x2, y2. The slope of the line then will equal (y2 - y1)/(x2 - x1).
You write it as: y = 5x-4 Then you calculate a few sample points, plot them, and draw a straight line through them. Since the equation is linear, two points are enough, in theory, but it is usually recommended to plot a third point, as a verification.
In general, a linear equation CANNOT be made to go through three points. That will only happen if the three points are collinear and in that case, the equation of the line will only require two points.
The equations are equivalent.
Calculate the coordinates of three points, and plot the points on the graph. Draw a straight line through them.To calculate the coordinates, assign any value for "x", replace in the equation, and solve for "y".Note that two points are enough in theory; the third is for additional verification, in case you commit some mistake.
There is no "this statement" associated with the question, but the maximum number of points which lie of the graph of a linear equation in two variables is infinite.
You write it as: y = 5x-4 Then you calculate a few sample points, plot them, and draw a straight line through them. Since the equation is linear, two points are enough, in theory, but it is usually recommended to plot a third point, as a verification.
In general, a linear equation CANNOT be made to go through three points. That will only happen if the three points are collinear and in that case, the equation of the line will only require two points.
The equations are equivalent.
The solution of a linear equation in two variable comprises the coordinates of all points on the straight line represented by the equation.
Calculate the coordinates of three points, and plot the points on the graph. Draw a straight line through them.To calculate the coordinates, assign any value for "x", replace in the equation, and solve for "y".Note that two points are enough in theory; the third is for additional verification, in case you commit some mistake.
Although there are similarities, the solutions to a linear equation comprise all points on one line: a one-dimensional object. The solutions to a linear inequality comprise all points on one side [or the other] of a line: a two-dimensional object.
There is no "this statement" associated with the question, but the maximum number of points which lie of the graph of a linear equation in two variables is infinite.
It is the locus of all points whose coordinates satisfy the equation of the line.
Select any set of values for x. For each one calculate the value of y for which the equation is true. If you plot these points on the x-y plane, they will all lie on a straight line. [The word "linear" refers to line.]
It is the set of points satisfying a linear equation.
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.
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.