To find where the line represented by the equation (x + 3y = 6) intersects the axes, we can determine the x-intercept and y-intercept. Setting (y = 0) to find the x-intercept gives (x = 6), so the x-intercept is ((6, 0)). Setting (x = 0) to find the y-intercept gives (3y = 6) or (y = 2), so the y-intercept is ((0, 2)). Thus, the line intersects the axes at the points ((6, 0)) and ((0, 2)).
The coordinates of every point on the graph, and no other points, are solutions of the equation.
Is called the origin and has coordinates (0,0).Origin(0,0)
If you mean y = -2x-6 then y intersect the graph at (0, -6)
If a point is on both the x-axis and the y-axis, then it must be in the only point where the x-axis and y-axis intersect. The point where they intersect is (0,0) which is called the origin.
You don't. An equation with two variables can be graphed as a line or a curve on x-y coordinates. When you do that, EVERY point on the line or curve satisfies the equation. You can't 'solve' it ... i.e. come up with unique values for 'x' and 'y' ... until you have another equation. It represents another line or curve on the graph, and the 'solution' represents the point (or points) where the graphs of the two equations intersect.
At the given coordinates where the x and y values intersect
The coordinates of every point on the graph, and no other points, are solutions of the equation.
The first graph consists of all points whose coordinates satisfy the first equation.The second graph consists of all points whose coordinates satisfy the second equation.The point of intersection lies on both lines so the coordinates of that poin must satisfy both equations.
Is called the origin and has coordinates (0,0).Origin(0,0)
If you mean y = -2x-6 then y intersect the graph at (0, -6)
Yes, I'm confident of that.
If a point is on both the x-axis and the y-axis, then it must be in the only point where the x-axis and y-axis intersect. The point where they intersect is (0,0) which is called the origin.
The origin of a graph is the point specified by the ordered pair (0,0). It is where both the x-coordinate and the y-coordinate are zero and their respective axes intercept.
You don't. An equation with two variables can be graphed as a line or a curve on x-y coordinates. When you do that, EVERY point on the line or curve satisfies the equation. You can't 'solve' it ... i.e. come up with unique values for 'x' and 'y' ... until you have another equation. It represents another line or curve on the graph, and the 'solution' represents the point (or points) where the graphs of the two equations intersect.
A parallelogram does not intersect coordinates!
Mark the position of the point on the graph according to the coordinates of the point that are given (or calculated).
False