Try to visualize it. Draw a graph for clarity. Let's assume, for example, that the solution is "5". That means that your line or curve crosses the x-axis at position (5, 0). In other words, the OTHER coordinate - the y-coordinate - is 0.
It moves higher or lower on the plane, while remaining parallel to the original.
You draw a horizontal line on the x-intercept.
The starting point on the y-axis changes from -2 to 6.
6
as the y-intercept increases, the graph of the line shifts up. as the y-intercept decreases, the graph of the line shifts down.
If you mean: y = x and y = x+2 then the lines are then parallel to each
It depends on the y-intercept of WHAT is changed.
It is translated upwards by 8 units.
Try to visualize it. Draw a graph for clarity. Let's assume, for example, that the solution is "5". That means that your line or curve crosses the x-axis at position (5, 0). In other words, the OTHER coordinate - the y-coordinate - is 0.
The whole line 'shifts up' by two units, and is parallel to the original line (same slope)
It moves higher or lower on the plane, while remaining parallel to the original.
The y-intercept is the point where the line crosses the y-axis. If you change the y-intercept, that means that the line crosses the y-axis somewhere else. Depending on what remains constant, you may get different results. For example, if you don't change the slope, the entire line will simply move up or down.
The graph crosses the y-axis at a different point.
The line is shifted up by two units. The equation of a line can be given as follows: y = mx + b, where the values of x and y are coordinates falling somewhere along the line (respectively the "abscissa" and "ordinate" of the ordered pair, if memory serves), m is the slope of the line (a line with no slope, i.e. m=0, is horizontal, since the equation for any line with zero slope will return a value of 0 for any given y), and b is the "y-intercept", i.e. the point where the line crosses the y-axis (thus, to find the y-intercept of a line, assign y a value of 0 and solve for b).
The diagonal line collapses into a single point on that line.
Because the inverse of a function is what happens when you replace x with y and y with x.