Table of Contents
What does a small slope mean?
small velocity
For example, a small slope means a small velocity; a negative slope means a negative velocity; a constant slope (straight line) means a constant velocity; a changing slope (curved line) means a changing velocity.
Is a smaller slope steeper?
The line is steeper, and so the Slope is larger. The line is less steep, and so the Slope is smaller.
How does changing the slope affect the line?
Slope values increase the higher the number is: For instance, a line with a slope of 2 is steeper than a line with a slope of 12 .
What happens to the line as you increase and decrease slope?
Negative Slope If a line has a positive slope (i.e. m > 0), then y always increases when x increases and y always decreases when x decreases. Thus, the graph of the line starts at the bottom left and goes towards the top right.
What happens when the slope of the line is negative?
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 does it mean if the slope is less than 1?
Slopes can be more than one and less than negative one. A slope determines how steep a line is and the sign indicates if it’s going “uphill” or “downhill”. The lowest absolute slope (the absolute value of a slope) is 0 which means the line is perfectly horizontal. A very small slope, so 110 means it’s slightly up hill.
What happens when slope decreases?
Suppose the slope of a line were to decrease. Then it would get flatter. These conditions are true whether or not the slope was positive or negative to begin with. 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.
What can be said regarding if a line if its slope is negative θ is an obtuse angle?
Hence, we can say that the line with zero as the slope is parallel to the x-axis. Hence, we can say that the line with negative slope makes an obtuse angle with the x-axis when measured anti-clockwise.
What happens when the slope of a line decreases?
Suppose the slope of a line were to decrease. Then it would get flatter. These conditions are true whether or not the slope was positive or negative to begin with. 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.
What is the slope of a steep line?
The line is steeper, and so the Slope is larger. The Slope of this line = 3 5 = 0.6 The line is less steep, and so the Slope is smaller.
What’s the difference between positive and negative slope?
These conditions are true whether or not the slope was positive or negative to begin with. 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.
When does a vertical line have an infinite slope?
A vertical line has an infinite slope. Suppose a line has a larger intercept. Graphically, that means it would shift out (or up) from the old origin, parallel to the old line. If a line has a smaller intercept, it would shift in (or down), parallel to the old line.