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What does a slope with a negative value mean about a line?

What does a slope with a negative value mean about a line?

A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.

When the slope is negative does it rise up or down?

If the slope is negative, then the rise and the run have to be opposites of each other, one has to be positive and one has to be negative. In other words, you will be going up and to the left OR down and to the right.

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Can a linear equation have a negative slope?

In the equation y = mx + c the value of m is called the slope, (or gradient), of the line. It can be positive, negative or zero. Lines with a positive gradient slope upwards, from left to right. Lines with a negative gradient slope downwards from left to right.

What does a negative slope mean in regression?

If the slope is negative, y decreases as x increases and the function runs downhill. If the slope is zero, y does not change, thus is constant—a horizontal line. Vertical lines are problematic in that there is no change in x. Thus our formula is undefined due to division by zero.

What are the difference between positive and negative slope?

A higher positive slope means a steeper upward tilt to the line, while a smaller positive slope means a flatter upward tilt to the line. A negative slope that is larger in absolute value (that is, more negative) means a steeper downward tilt to the line. A slope of zero is a horizontal flat line.

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Which linear function has a negative slope?

decreasing linear function
A decreasing linear function results in a graph that slants downward from left to right and has a negative slope. A constant linear function results in a graph that is a horizontal line.

How do you graph negative graphs?

To plot a point, start at the origin and count along the x axis until you reach the x coordinate, count right for positive numbers, left for negative. Then count up or down the number of the y coordinate (up for positive, down for negative.)

Can a slope have a negative numerator?

When calculating a slope, the negative may appear in the numerator or the denominator. A negative slope is typically written with the negative in front of the fraction.