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The slope of a line represents the rate of change between the two variables plotted on the axes. Specifically, it indicates how much the dependent variable changes for a unit change in the independent variable. In a linear equation, a positive slope signifies a direct relationship, while a negative slope indicates an inverse relationship. The steeper the slope, the greater the rate of change.
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What is the slope of a line that is perpendicular to the line represented by the equation y-5x equals 5?
The slope is -0.2
How is the equation for a horizontal line different when written in slope intercept form?
The equation of a horizontal line in slope-intercept form is written as (y = b), where (b) is the y-coordinate of any point on the line. This indicates that the slope (m) is 0, meaning there is no change in the y-value regardless of changes in the x-value. In contrast, a non-horizontal line would have a non-zero slope, represented by (y = mx + b), where (m) is the slope. Thus, the key difference is that horizontal lines have a constant y-value and a slope of zero.
How should a slope be written as?
A slope should be written as a ratio of the change in the vertical value (rise) to the change in the horizontal value (run). It is commonly expressed as ( m = \frac{y_2 - y_1}{x_2 - x_1} ), where ( (x_1, y_1) ) and ( (x_2, y_2) ) are two points on a line. The slope can also be represented as a decimal or a percentage. In graphing, the slope indicates the steepness and direction of a line.
What is the slope of the line represented by the equation x equals -3?
x = -3 represents a vertical line whose slope is undefined.
How does the numerical value of slope describe the slant and steepness of a line?
The numerical value of the slope indicates how steep a line is and the direction it slants. A positive slope means the line rises as it moves from left to right, while a negative slope indicates it falls. The greater the absolute value of the slope, the steeper the line; for example, a slope of 3 is steeper than a slope of 1. A slope of zero represents a horizontal line, while an undefined slope corresponds to a vertical line.
What is the slope of a line that is perpendicular to the line represented by the equation y-5x equals 5?
The slope is -0.2
How is the equation for a horizontal line different when written in slope intercept form?
The equation of a horizontal line in slope-intercept form is written as (y = b), where (b) is the y-coordinate of any point on the line. This indicates that the slope (m) is 0, meaning there is no change in the y-value regardless of changes in the x-value. In contrast, a non-horizontal line would have a non-zero slope, represented by (y = mx + b), where (m) is the slope. Thus, the key difference is that horizontal lines have a constant y-value and a slope of zero.
What is the slope of the line represented by the equation y equals -4x 2?
The slope is -4
How is constant speed represented on a time graph?
On a time graph, constant speed is represented by a straight line with a constant slope. The slope of the line indicates the speed of the object – the steeper the slope, the faster the speed, and the shallower the slope, the slower the speed.
Which value for slope represents the steepest line?
The slope of a line is the change in y coordinates divided by the change in x coordinates. Zero is the slope of a flat line. The steeper the line, the greater the value of the slope. For instance a slope of 587 is steeper than a slope of 48. A vertical line is not given a slope measurement - it is said to be indeterminate, so there is no representation for the "steepest" line. An extremely steep line will have a slope value approaching plus or minus infinity.
How should a slope be written as?
A slope should be written as a ratio of the change in the vertical value (rise) to the change in the horizontal value (run). It is commonly expressed as ( m = \frac{y_2 - y_1}{x_2 - x_1} ), where ( (x_1, y_1) ) and ( (x_2, y_2) ) are two points on a line. The slope can also be represented as a decimal or a percentage. In graphing, the slope indicates the steepness and direction of a line.
What is the slope of the line represented by the equation x equals -3?
x = -3 represents a vertical line whose slope is undefined.
How does the numerical value of slope describe the slant and steepness of a line?
The numerical value of the slope indicates how steep a line is and the direction it slants. A positive slope means the line rises as it moves from left to right, while a negative slope indicates it falls. The greater the absolute value of the slope, the steeper the line; for example, a slope of 3 is steeper than a slope of 1. A slope of zero represents a horizontal line, while an undefined slope corresponds to a vertical line.
What are non examples of slope?
Non-examples of slope include horizontal lines, which have a slope of zero, and vertical lines, which have an undefined slope. Additionally, a constant function, represented by a flat line, also does not demonstrate slope since it does not change in the y-value as the x-value changes. Finally, any situation where there is no change in y despite a change in x does not represent a slope.
What is the absolute value of the slope of a line?
answer
What is the slope of a line that is parallel to the line represented by the equation y-5x equals 5?
5
What is a positive and negative value for M in the formula y equals Mx plus B?
The formula y=Mx + B is the slope intercept equation of a line. If you where to graph this on a 2 dimensional graph with x and y axes the number represented by M would be the slope of the line. A positive value of M would mean a positive slope and the line will rise as one views it from left to right. A negative value of M would indicate a negative slope and the line will descend as one views it from left to right. A value of zero for M would indicate a horizontal line.
