the graph of a straight line crosses the origin of a coordinate plane, what does crossing the point (0,0) mean.
Crossing the point (0,0) means that the line passes through the origin, which is the point where the x-axis and y-axis intersect. This means that the line has a y-intercept of 0 and an x-intercept of 0.
It means y is directly proportional to x.
When the graph of a straight line crosses the point (0,0) on a coordinate plane, it means that the line passes through the origin. This implies that the y-intercept of the line is zero, and the line starts at the origin, which is the point (0,0). In other words, the line intersects the x-axis and the y-axis at the origin (0,0).
When the graph of a straight line crosses the origin of a coordinate plane, it means that the line intersects or passes through the point (0,0), which is also known as the origin. The point (0,0) represents the intersection of the x-axis and the y-axis.
In terms of the equation of a straight line, crossing the origin means that the y-intercept of the line is 0. The y-intercept is the point where the line intersects the y-axis, and when it is equal to 0, the line passes through the origin.
To determine whether a given line crosses the origin, you can examine its equation. The general equation of a straight line is y = mx + c, where m represents the slope of the line and c represents the y-intercept. If the y-intercept (c) is equal to 0, then the line crosses the origin.
For example, if the equation of a line is y = 2x + 0, the y-intercept is 0. Therefore, the line crosses the origin.
Alternatively, if you have a graph and want to determine if the line crosses the origin, you can verify if the line passes through the point (0,0) on the graph. By substituting x=0 and y=0 into the equation of the line, if the equation holds true, then the line crosses the origin.