Slope Of A Line Flashcards
What is the definition of the slope of a line?
The slope of a line is the measure of its steepness or incline, typically represented as ‘m’.
What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?
The formula is m = (y2 - y1) / (x2 - x1).
True or False: A horizontal line has a slope of 0.
True.
What does a positive slope indicate about a line?
A positive slope indicates that the line rises as it moves from left to right.
What does a negative slope indicate about a line?
A negative slope indicates that the line falls as it moves from left to right.
Fill in the blank: The slope of a vertical line is ______.
undefined.
If the slope of a line is 3, what does this mean in terms of rise over run?
For every 3 units the line rises, it runs 1 unit horizontally.
What is the slope of the line represented by the equation y = 2x + 5?
The slope is 2.
True or False: The slope of a line can be negative, positive, or zero.
True.
What is the slope-intercept form of a line?
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
In the slope formula m = (y2 - y1) / (x2 - x1), what do y2 and y1 represent?
y2 and y1 represent the y-coordinates of the two points.
What is the y-intercept of a line?
The y-intercept is the point where the line crosses the y-axis.
If a line passes through the points (1, 2) and (3, 6), what is its slope?
The slope is 2.
Fill in the blank: A line with a slope of 1 is said to be ______.
diagonal.
How does the slope of a line affect its graph?
The slope determines the angle of the line and its direction of rise or fall.
