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When the y-intercept of a line is changed, the entire line shifts vertically without altering its slope. If the y-intercept increases, the line moves upward; if it decreases, the line moves downward. This change affects where the line crosses the y-axis, but the angle and direction of the line remain the same.
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What happens to a line when the y-intercepts is changed?
When the y-intercept of a line is changed, the entire line shifts vertically without altering its slope. If the y-intercept increases, the line moves upward; if it decreases, the line moves downward. The slope remains constant, meaning the angle of inclination relative to the x-axis does not change. This results in a parallel shift of the line along the y-axis.
What happens to a line when y-intercept is changed?
It moves higher or lower on the plane, while remaining parallel to the original.
Why do you set y to 0 when solving for the x in tercept of a line?
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.
What happens if i don't have a y intercept?
You draw a horizontal line on the x-intercept.
What happen to the graph of the line y equals 3x-2 when the equation is changed to y equals 3x plus 6?
The starting point on the y-axis changes from -2 to 6.
What happens to a line when the y-intercept is changed?
as the y-intercept increases, the graph of the line shifts up. as the y-intercept decreases, the graph of the line shifts down.
What happens when the line y x is changed to y x 2?
If you mean: y = x and y = x+2 then the lines are then parallel to each
What happens when a y-intercept is changed?
It depends on the y-intercept of WHAT is changed.
What happens to the line y equals -6x-2 when it is changed to y equals -6x plus 6?
It is translated upwards by 8 units.
Why do you set y to 0 when solving for the x in tercept of a line?
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.
What happens to a line when y-intercept is changed?
It moves higher or lower on the plane, while remaining parallel to the original.
What happens when y equals x is changed to y equals x plus 2?
The whole line 'shifts up' by two units, and is parallel to the original line (same slope)
What happens to a line when the y intercept is changed?
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.
What happens when the y-intercept is changed?
The graph crosses the y-axis at a different point.
What happens when the line y equals x is changed to y equals x plus 2?
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).
Which equation of the graph occurs when y equals x is changed to y equals x equals 2?
The diagonal line collapses into a single point on that line.
Why is the graph of an inverse of a function flipped over the line y x instead of another line?
Because the inverse of a function is what happens when you replace x with y and y with x.
