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A straight line on a graph means there is a what relationship?

A direct relationship if the slope of the line is positive. An inverse relationship if the slope of the line is negative.


What is the relationship between slope and a perpendicular line?

If a line has a slope m then a line perpendicular to it has a slope -1/m ( negative inverse). For example if a line has slope positive 2, its perpendicular has slope -1/2


How do you find the inverse of the slope of the line?

Write the equation of the line in the standrad form: y = mx + c The slope of this line is m The inverse of the slope is then 1/m. Note, that for a line perpendicular to the first, you need the negative inverse, not just the inverse. And the negative inverse of m is -1/m.


Is a slope of a line always positive?

No because the slope of a line can be positive or negative


What is a line wxtending from the upper lift to the lower right has this type of slope?

The line has a negative slope (or negative gradient).When the angle between the line and the positive direction of Ox is obtuse then the slope is negative. Conversely, when the angle is acute, the slope is positive.


If two variables have a negative linear correlation is the slope of the least-squares line positive or negative?

If two variables have a negative linear correlation, the slope of the least-squares regression line is negative. This indicates that as one variable increases, the other variable tends to decrease. Thus, the negative slope reflects the inverse relationship between the two variables.


How do you know when the slope of a line is negative?

You know when the slope of a line is negative when m in the slope-intercept form equation y=mx+b is negative. For example, y=-3x+2 has a negative slope since m (which is -3 in this case) is negative. This is the same when finding a positive slope, because if m is positive, then the slope is positive.


What does it mean for a line to have a negative slope?

If a line has a negative slope it is going 'down hill' and if it has a positive slope it is going 'up hill'


Is a line with a positive slope and a line with a negative slope parallel?

No, a line with a positive slope and a line with a negative slope cannot be parallel. Parallel lines have the same slope, meaning they rise or fall at the same rate. A positive slope indicates that a line rises as it moves from left to right, while a negative slope indicates that a line falls. Therefore, these two types of lines will eventually intersect if extended far enough, demonstrating that they are not parallel.


How do you tell if a slope is negative or positive?

To determine if a slope is negative or positive, you can look at the direction of the line on a graph. If the line rises from left to right, the slope is positive; if it falls from left to right, the slope is negative. Mathematically, if the change in y (vertical) over the change in x (horizontal) is greater than zero, the slope is positive, while a value less than zero indicates a negative slope.


Is the inverse of a line with the slope greater than one is a line with the slope less than one?

A line does not have an inverse!


What will happen to the slope of a line if the line is shifted so that the y intercept increases and the x intercept remains the same?

The answer depends on the signs of the original intercepts.x negative, y negative: negative slope becomes less negative and could go positive.x negative, y positive: positive slope becomes greater.x positive, y negative: positive slope becomes less positive and could go negative.x positive, y positive: negative slope becomes more negative.For 1 and 3, the slope changes sign when the y intercept crosses the origin.