What is an equation with a negative slope?
Negative Slope in an Algebraic Equation
The slope-intercept form of the green line is y = -2x + 8. Consider now the linear equation y = (-5/2)x – 7. This line has a slope of -5/2. In other words, it has a rise of five units down and a run of two units right.
What is a negative slope example?
For example, as the number of people that quit smoking (x) increases, the number of people contracting lung cancer (y) decreases. A graph of this relationship has a negative slope.
How do you find the rise and run of a negative slope?
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.
How do you graph negative slopes?
Example 2: Graphing a Negative Slope
- Plot the 1st point. ( 0,7)
- Count the rise. (We went down 3 since the slope was negative.
- Count the run. ( The denominator is 1, so we went right 1)
- Plot the 2nd point.
- Repeat the process if you’d like to plot a 3rd point.
- Draw a line through your points.
How do you find the equation of a negative line?
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.
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.
Can there be a negative slope?
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.
What if the Y intercept is negative?
A positive y-intercept means the line crosses the y-axis above the origin, while a negative y-intercept means that the line crosses below the origin.