Chapter 5 Linear Equations Flashcards
general description of slope
rise over run
how to calculate slope
change in y (y2 - y1) divided by the change in x (x2 - x1)
slope intercept form of the line
y = mx + b
Which letter in the equation represents slope?
y = mx + b
y = mx + b
m is the slope
Which letter in the equation represents the y-intercept?
y = mx + b
y = mx + b
b is the y-intercept
Point-slope equation of a line
y - y1 = m (x - x1)
In the equation below what are x1 and y1?
y - y1 = m (x - x1)
(x1, y1) is a point on the line
standard form of the equation of a line
Ax + By = C
in the equation of the line Ax + By = C, what are limitation on the values of A, B, and C
A, B, and C cannot be fractions or decimals, and A must also be greater than or equal to 0.
If lines are parallel, what is true about their slope?
slopes are equal
If lines are perpendicular, what is true about their slope?
slopes are opposite reciprocals of each other
What is the equation for direct variation?
y = kx
What shows the relationship between two changing quantities?
rate of change (examples: miles per hour or temperature change per minute)
True or False: the graph of a direct variation will always pass through (0,0)
True
where the graph of a line crosses the y-axis
y-intercept